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112 (number)

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Short description: Natural number
← 111 112 113 →
Cardinalone hundred twelve
Ordinal112th
(one hundred twelfth)
Factorization24 × 7
Divisors1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greek numeralΡΙΒ´
Roman numeralCXII
Binary11100002
Ternary110113
Quaternary13004
Quinary4225
Senary3046
Octal1608
Duodecimal9412
Hexadecimal7016
Vigesimal5C20
Base 363436

112 (one hundred [and] twelve) is the natural number following 111 and preceding 113.

Mathematics

112 is an abundant number, a heptagonal number,[1] and a Harshad number.[2]

112 is the number of connected graphs on 6 unlabeled nodes.[3]

If an equilateral triangle has sides of length 112, then it contains an interior point at integer distances 57, 65, and 73 from its vertices. This is the smallest possible side length of an equilateral triangle that contains a point at integer distances from the vertices.[4]

See also

  • 112 (disambiguation)

References

  1. ↑ "Sloane's A000566 : Heptagonal numbers". OEIS Foundation. https://oeis.org/A000566. 
  2. ↑ "Sloane's A005349 : Niven (or Harshad) numbers". OEIS Foundation. https://oeis.org/A005349. 
  3. ↑ "Sloane's A001349 : Number of connected graphs with n nodes". OEIS Foundation. https://oeis.org/A001349. 
  4. ↑ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987), page 119



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