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131091372 = 22342711493
BaseRepresentation
bin1111101000001…
…00101110101100
3100010200010120000
413310010232230
5232024410442
621001424300
73151154406
oct764045654
9303603500
10131091372
1167aa7985
1237a9b090
132120b479
14135a5b76
15b796d4c
hex7d04bac

131091372 has 60 divisors (see below), whose sum is σ = 344193696. Its totient is φ = 43506720.

The previous prime is 131091353. The next prime is 131091383. The reversal of 131091372 is 273190131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87058 + ... + 88550.

Almost surely, 2131091372 is an apocalyptic number.

131091372 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 131091372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172096848).

131091372 is an abundant number, since it is smaller than the sum of its proper divisors (213102324).

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

131091372 is a wasteful number, since it uses less digits than its factorization.

131091372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131091372 is about 11449.5140508233. The cubic root of 131091372 is about 507.9933607333.

The spelling of 131091372 in words is "one hundred thirty-one million, ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 542 813 1084 1493 1626 2439 2986 3252 4479 4878 5972 7317 8958 9756 13437 14634 17916 21951 26874 29268 40311 43902 53748 80622 87804 120933 161244 241866 404603 483732 809206 1213809 1618412 2427618 3641427 4855236 7282854 10924281 14565708 21848562 32772843 43697124 65545686 131091372