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113 (one hundred ndthirteen) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called '' cardinal ...
following 112 and preceding
114 114 may refer to: *114 (number) *AD 114 *114 BC *114 (1st London) Army Engineer Regiment, Royal Engineers, an English military unit *114 (Antrim Artillery) Field Squadron, Royal Engineers, a Northern Irish military unit *114 (MBTA bus) *114 (New Je ...
.


Mathematics

* 113 is the 30th
prime number A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime ...
(following 109 and preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime, an emirp, an isolated prime, a Chen prime and a Proth prime as it is a prime number of the form 7 × 24 + 1. 113 is also an Eisenstein prime with no imaginary part and real part of the form 3n - 1. In base 10, this prime is a
primeval number In recreational number theory, a primeval number is a natural number ''n'' for which the number of prime numbers which can be obtained by permuting some or all of its digits (in base 10) is larger than the number of primes obtainable in the same w ...
, and a permutable prime with
131 131 may refer to: *131 (number) *AD 131 *131 BC *131 (album), the album by Emarosa *131 (MBTA bus), the Massachusetts Bay Transportation Authority bus. For the MBTA bus, see 131 (MBTA bus). *131 (New Jersey bus) 131 may refer to: *131 (number) *AD ...
and
311 311 may refer to: * 311 (number), a natural number * AD 311, a year of the Julian calendar, in the fourth century AD * 311 BC, a year of the pre-Julian Roman calendar * 311 (band), an American band ** ''311'' (album), band 311's self-titled album ...
. *113 is a
highly cototient number In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above 1 and has more solutions to the equation :x - \phi(x) = k than any other integer below k and above 1. Here, \phi is Euler's totient f ...
and a centered square number. *113 is the
denominator A fraction (from la, fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight ...
of 355/113, an accurate approximation to .


See also

*
113 (disambiguation) 113 may refer to: *113 (number), a natural number *AD 113, a year *113 BC, a year *113 (band), a French hip hop group *113 (MBTA bus), Massachusetts Bay Transportation Authority bus route *113 (New Jersey bus), Ironbound Garage in Newark and run to ...
*
A113 A113 (sometimes A-113, A-1-13, A1-13 or A11-3) is an inside joke and Easter egg in media developed by alumni of California Institute of the Arts, referring to the classroom used by graphic design and character animation students. History Student ...
is A Pixar recurring inside joke or Easter Egg, e.g.: ( WALL-E) = (W-A113).


References

* Wells, D. '' The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 134 {{DEFAULTSORT:113 (Number) Integers