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131031096 = 23372671663
BaseRepresentation
bin1111100111101…
…10000000111000
3100010120001212120
413303312000320
5232020443341
621000241240
73150513600
oct763660070
9303501776
10131031096
1167a66669
1237a70220
13211b9bc1
141358bc00
15b784066
hex7cf6038

131031096 has 96 divisors (see below), whose sum is σ = 386979840. Its totient is φ = 36856512.

The previous prime is 131031091. The next prime is 131031113. The reversal of 131031096 is 690130131.

It is a super-2 number, since 2×1310310962 = 34338296237922432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77961 + ... + 79623.

It is an arithmetic number, because the mean of its divisors is an integer number (4031040).

Almost surely, 2131031096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131031096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193489920).

131031096 is an abundant number, since it is smaller than the sum of its proper divisors (255948744).

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

131031096 is a wasteful number, since it uses less digits than its factorization.

131031096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 131031096 is about 11446.8814967222. The cubic root of 131031096 is about 507.9154901062.

The spelling of 131031096 in words is "one hundred thirty-one million, thirty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 67 84 98 134 147 168 196 201 268 294 392 402 469 536 588 804 938 1176 1407 1608 1663 1876 2814 3283 3326 3752 4989 5628 6566 6652 9849 9978 11256 11641 13132 13304 19698 19956 23282 26264 34923 39396 39912 46564 69846 78792 81487 93128 111421 139692 162974 222842 244461 279384 325948 334263 445684 488922 651896 668526 779947 891368 977844 1337052 1559894 1955688 2339841 2674104 3119788 4679682 5459629 6239576 9359364 10919258 16378887 18718728 21838516 32757774 43677032 65515548 131031096