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110 (number)

From Wikipedia, the free encyclopedia
← 109 110 111 →
Cardinalone hundred ten
Ordinal110th
(one hundred tenth)
Factorization2 × 5 × 11
Divisors1, 2, 5, 10, 11, 22, 55, 110
Greek numeralΡΙ´
Roman numeralCX, cx
Binary11011102
Ternary110023
Senary3026
Octal1568
Duodecimal9212
Hexadecimal6E16

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

In mathematics

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110 is a sphenic number and a pronic number.[1] 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, .

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

In base 10, the number 110 is a Harshad number[2] and a self number.[3]

In other fields

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110 is also:

  • 1-1-0, the emergency telephone number used to reach police services in Iran, Germany, Estonia, China, Indonesia, and Japan. Also used to reach the fire and rescue services in Norway and Turkey.
  • A percentage in the expression "To give 110%", meaning to give a little more effort than one's maximum effort
  • Lowest number to not be considered a favourite by anyone among 44,000 people surveyed in a 2014 online poll[4] and subsequently adopted by British television show QI as the show's favourite number in 2017.

Eleventy

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Compare twelfty.

As 110

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Other meanings of eleventy

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  • Eleventy has also been used to mean an indefinite large number - "lots".[citation needed] Similarly eleventy-eleven was used in nineteenth century Mississippi in the same role.[6]

References

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  1. ^ "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. ^ "Sloane's A003052 : Self numbers or Colombian numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  4. ^ Bellos, Alex (2014-04-08). "'Seven' triumphs in poll to discover world's favourite number". The Guardian. ISSN 0261-3077. Retrieved 2017-02-08.
  5. ^ Etymology at www.etymoline.com
  6. ^ Hubert Anthony Shands (1893). Some Pecularities of Speech in Mississippi. Norwood Press. p. 43.