112 (one hundred
ndtwelve) is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following
111 and preceding
113 113 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 ...
.
Mathematics
112 is an
abundant number
In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total ...
, a
heptagonal number, and a
Harshad number
In mathematics, a harshad number (or Niven number) in a given radix, number base is an integer that is divisible by the digit sum, sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers ...
.
112 is the number of
connected graphs on 6 unlabeled nodes.
If an
equilateral triangle
An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, the equilateral triangle is a regular polygon, occasionally known as the regular triangle. It is the ...
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.
[Wells, D. '' The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987), page 119]
See also
*
112 (disambiguation)
References
Integers
{{Num-stub