110 (number)

110 (number)

110 (one hundred [and] ten) is the natural number following 109 and preceding 111.

It is also known as "eleventy", a term made famous by linguist and author J. R. R. Tolkien (Bilbo Baggins celebrates his eleventy-first birthday at the beginning of The Lord of the Rings) and derived from the Old English hund endleofantig.[1] When the word eleventy is used, it may indicate the exact number (110), or more commonly an indefinite large number such as gazillion.

110
Cardinal one hundred [and] ten
Ordinal 110th
(one hundred [and] tenth)
Numeral system 110
Factorization 2 \cdot 5 \cdot 11
Divisors 1, 2, 5, 10, 11, 22, 55, 110
Roman numeral CX
Binary 11011102
Octal 1568
Duodecimal 9212
Hexadecimal 6E16

Contents

In mathematics

110 is a sphenic number and a pronic number. Following the prime quadruplet (101, 103, 107, 109), at 110, the Mertens function reaches a low of −5.

110 is the sum of three consecutive squares, 110 = 52 + 62 + 72.

110 is the side of the smallest square that can be tiled with distinct integer-sided squares.

RSA-110 is one of the RSA numbers, large semiprimes that are part of the RSA Factoring Challenge.

The Rule 110 cellular automaton, like Conway's Game of Life, exhibits what Stephen Wolfram calls "Class 4 behavior," which is neither completely random nor completely repetitive.[2]

An example run of a rule 110 cellular automaton

In base 10, the number 110 is a Harshad number and a self number.

In science

In sports

Olympic track and field athletics run 110 meter hurdles.

The International 110, or the 110, is a one-design racing sailboat designed in 1939 by C. Raymond Hunt.

In other fields

110 is also:

  • The year CE 110 or 110 BCE
  • A common name for mains electricity in North America, despite the nominal voltage actually being 120V (range 110–120). Normally spoken as "one-ten".
  • 1-1-0, the emergency telephone number used to reach police services in Iran, Germany, Estonia, China and Japan. Also used to reach the Fire and rescue services in Norway and Turkey.
  • The age a person must attain in order to be considered a supercentenarian.
  • A card game related to Forty-five (card game).
  • A percentage in the expression "To give 110%", meaning to give a little more effort than one's maximum effort
  • The number of stories of both towers of the former World Trade Center in New York.
  • The number of stories (by common reckoning) of the Sears Tower in Chicago.
  • The TCP port used for POP3 email protocol
  • A 110 block is a type of punch block used to connect sets of wires in a structured cabling system.
  • The abjad (ابجد) translation of word "علی" (Ali) in Arabic and Persian.

See also

References

  1. ^ Etymology at www.etymoline.com
  2. ^ Stephan Wolfram, A New Kind of Science p229.

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