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112995012 = 223132293163
BaseRepresentation
bin1101011110000…
…10101011000100
321212121202000110
412233002223010
5212411320022
615113513020
72541304344
oct657025304
9255552013
10112995012
1158867909
1231a12770
131a543670
1411014d24
159dc000c
hex6bc2ac4

112995012 has 48 divisors (see below), whose sum is σ = 285266240. Its totient is φ = 34604928.

The previous prime is 112995011. The next prime is 112995037. The reversal of 112995012 is 210599211.

It is not an unprimeable number, because it can be changed into a prime (112995011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34143 + ... + 37305.

Almost surely, 2112995012 is an apocalyptic number.

112995012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112995012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142633120).

112995012 is an abundant number, since it is smaller than the sum of its proper divisors (172271228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112995012 is a wasteful number, since it uses less digits than its factorization.

112995012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 112995012 is about 10629.9111943609. The cubic root of 112995012 is about 483.4516990591.

It can be divided in two parts, 1129 and 95012, that added together give a triangular number (96141 = T438).

The spelling of 112995012 in words is "one hundred twelve million, nine hundred ninety-five thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 458 687 916 1374 2748 2977 3163 5954 6326 8931 9489 11908 12652 17862 18978 35724 37956 41119 82238 123357 164476 246714 493428 724327 1448654 2172981 2897308 4345962 8691924 9416251 18832502 28248753 37665004 56497506 112995012