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100orone hundred (Roman numeral: C)[1] is the natural number following 99 and preceding 101.

← 99 100 101 →

100 101 102 103 104 105 106 107 108 109

  • Integers
  • 0 100 200 300 400 500 600 700 800 900

    Cardinalone hundred
    Ordinal100th
    (one hundredth)
    Factorization22 × 52
    Divisors1, 2, 4, 5, 10, 20, 25, 50, 100
    Greek numeralΡ´
    Roman numeralC, c
    Binary11001002
    Ternary102013
    Senary2446
    Octal1448
    Duodecimal8412
    Hexadecimal6416
    Greek numeralρ
    Arabic١٠٠
    Bengali১০০
    Chinese numeral佰,百
    Devanagari१००
    Hebrewק
    Khmer១០០
    ArmenianՃ
    Tamil௱, க௦௦
    Thai๑๐๐
    Egyptian hieroglyph𓍢
    Babylonian cuneiform𒐕𒐏

    In mathematics

    edit
     
    100 as the sum of the first positive cubes

    100 is the square of 10 (inscientific notation it is written as 102). The standard SI prefix for a hundred is "hecto-".

    100 is the basis of percentages (per centum meaning "by the hundred" in Latin), with 100% being a full amount.

    100 is a Harshad numberindecimal, and also in base-four, a base in-which it is also a self-descriptive number.[2][3]

    100 is the sum of the first nine prime numbers, from 2 through 23.[4] It is also divisible by the number of primes below it, 25.[5]

    100 cannot be expressed as the difference between any integer and the total of coprimes below it, making it a noncototient.[6]

    100 has a reduced totient of 20, and an Euler totient of 40.[7][8] A totient value of 100 is obtained from four numbers: 101, 125, 202, and 250.

    100 can be expressed as a sum of some of its divisors, making it a semiperfect number.[9] The geometric mean of its nine divisors is 10.

    100 is the sum of the cubes of the first four positive integers (100 = 13 + 23 + 33 + 43).[10] This is related by Nicomachus's theorem to the fact that 100 also equals the square of the sum of the first four positive integers: 100 = 102 = (1 + 2 + 3 + 4)2.[11]

    100 = 26 + 62, thus 100 is the seventh Leyland number.[12] 100 is also the seventeenth Erdős–Woods number, and the fourth 18-gonal number.[13][14]

    The 100th prime number is 541, which returns   for the Mertens function.[15] It is the 10th star number[16] (whose digit sum also adds to 10 in decimal).

    There are exactly 100 prime numbers in base-ten whose digits are in strictly ascending order (e.g. 239, 2357, etc.).[17] The last such prime number is 23456789, which contains eight consecutive integers as digits.

    In science

    edit

    One hundred is the atomic number of fermium, an actinide, and the last of the heavy metals that can be created through neutron bombardment.

    On the Celsius scale, 100 degrees is the boiling temperature of pure wateratsea level.

    The Kármán line lies at an altitude of 100 kilometres (62 mi) above the Earth's sea level and is commonly used to define the boundary between Earth's atmosphere and outer space.

    In history

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    In religion

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    In politics

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    In money

    edit
     
    Hundred rupee note India

    Most of the world's currencies are divided into 100 subunits; for example, one euro is one hundred cents and one pound sterling is one hundred pence.

    By specification, 100 euro notes feature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse.

     
    The U.S. hundred-dollar bill, Series 2009

    The U.S. hundred-dollar bill has Benjamin Franklin's portrait; the "Benjamin" is the largest U.S. bill in print. American savings bonds of $100 have Thomas Jefferson's portrait, while American $100 treasury bonds have Andrew Jackson's portrait.

    In sports

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    In other fields

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    One hundred is also:

    See also

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    References

    edit
    1. ^ Reinforced by but not originally derived from Latin centum.
  • ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  • ^ Sloane, N. J. A. (ed.). "Sequence A108551 (Self-descriptive numbers in various bases represented in base 10)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
  • ^ Sloane, N. J. A. (ed.). "Sequence A007504 (Sum of the first n primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  • ^ Sloane, N. J. A. (ed.). "Sequence A057809 (Numbers n such that pi(n) divides n.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  • ^ Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
  • ^ Sloane, N. J. A. (ed.). "Sequence A002322 (Reduced totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
  • ^ Sloane, N. J. A. (ed.). "Sequence A000010 (Euler totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  • ^ Sloane, N. J. A. (ed.). "Sequence A005835 (Pseudoperfect (or semiperfect) numbers n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
  • ^ Sloane, N. J. A. (ed.). "Sequence A025403 (Numbers that are the sum of 4 positive cubes in exactly 1 way.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
  • ^ Sloane, N. J. A. (ed.). "Sequence A000537 (Sum of first n cubes; or n-th triangular number squared)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  • ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  • ^ Sloane, N. J. A. (ed.). "Sequence A059756 (Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-11-30.
  • ^ "Sloane's A051870 : 18-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  • ^ Sloane, N. J. A. (ed.). "Sequence A028442 (Numbers k such that Mertens's function M(k) (A002321) is zero.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-09-02.
  • ^ Sloane, N. J. A. (ed.). "Sequence A003154". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-09-02.
  • ^ Sloane, N. J. A. (ed.). "Sequence A052015 (Primes with distinct digits in ascending order.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-11-05.
  • ^ see Duodecimal § Origin
  • ^ Insights, September 28, 2011.
  • ^ Leo Rosten, The Joys of Yiddish (1968), page 52.
  • ^ Grasso, John (2013), Historical Dictionary of Football, Scarecrow Press, p. 133, ISBN 9780810878570.
  • ^ "Basketball Legend Chamberlain Dies at 63". www.washingtonpost.com. Retrieved 2023-08-07.
  • edit

    Retrieved from "https://en.wikipedia.org/w/index.php?title=100&oldid=1236338768"
     



    Last edited on 24 July 2024, at 04:41  





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    This page was last edited on 24 July 2024, at 04:41 (UTC).

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