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131063712 = 25313105019
BaseRepresentation
bin1111100111111…
…01111110100000
3100010121201121120
413303331332200
5232023014322
621001052240
73151010643
oct763757640
9303551546
10131063712
1167a8911a
1237a87080
13211cb9c0
1413599a5a
15b78da5c
hex7cfdfa0

131063712 has 48 divisors (see below), whose sum is σ = 370510560. Its totient is φ = 40326912.

The previous prime is 131063711. The next prime is 131063717. The reversal of 131063712 is 217360131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131063711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51262 + ... + 53757.

It is an arithmetic number, because the mean of its divisors is an integer number (7718970).

Almost surely, 2131063712 is an apocalyptic number.

131063712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131063712 is an abundant number, since it is smaller than the sum of its proper divisors (239446848).

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

131063712 is a wasteful number, since it uses less digits than its factorization.

131063712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105045 (or 105037 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 131063712 is about 11448.3060755729. The cubic root of 131063712 is about 507.9576297148.

The spelling of 131063712 in words is "one hundred thirty-one million, sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 105019 210038 315057 420076 630114 840152 1260228 1365247 1680304 2520456 2730494 3360608 4095741 5040912 5460988 8191482 10081824 10921976 16382964 21843952 32765928 43687904 65531856 131063712