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131012112 = 24371135447
BaseRepresentation
bin1111100111100…
…01011000010000
3100010112002211110
413303301120100
5232014341422
621000013320
73150404340
oct763613020
9303462743
10131012112
1167a53380
1237a61240
13211b137a
1413584d20
15b77d60c
hex7cf1610

131012112 has 80 divisors (see below), whose sum is σ = 421972992. Its totient is φ = 34028160.

The previous prime is 131012093. The next prime is 131012113. The reversal of 131012112 is 211210131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131012113) 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, 14028 + ... + 21419.

Almost surely, 2131012112 is an apocalyptic number.

131012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131012112 is an abundant number, since it is smaller than the sum of its proper divisors (290960880).

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

131012112 is a wasteful number, since it uses less digits than its factorization.

131012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35476 (or 35470 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 131012112 is about 11446.0522452066. The cubic root of 131012112 is about 507.8909597119.

Adding to 131012112 its reverse (211210131), we get a palindrome (342222243).

The spelling of 131012112 in words is "one hundred thirty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 35447 70894 106341 141788 212682 248129 283576 389917 425364 496258 567152 744387 779834 850728 992516 1169751 1488774 1559668 1701456 1985032 2339502 2729419 2977548 3119336 3970064 4679004 5458838 5955096 6238672 8188257 9358008 10917676 11910192 16376514 18716016 21835352 32753028 43670704 65506056 131012112