112 (number)

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← 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, cxii
Binary11100002
Ternary110113
Senary3046
Octal1608
Duodecimal9412
Hexadecimal7016

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]

There are 112 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]

References

  1. "Sloane's A000566 : Heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  2. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  3. "Sloane's A001349 : Number of connected graphs with n nodes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-12-19.
  4. Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987), page 119