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131418882 = 2337249667
BaseRepresentation
bin1111101010101…
…00101100000010
3100011021202211000
413311110230002
5232120401012
621012432430
73154020300
oct765245402
9304252730
10131418882
1168200a51
1238018716
13212c456a
141364d270
15b80dddc
hex7d54b02

131418882 has 48 divisors (see below), whose sum is σ = 339729120. Its totient is φ = 37547496.

The previous prime is 131418869. The next prime is 131418943. The reversal of 131418882 is 288814131.

It is a super-2 number, since 2×1314188822 = 34541845092259848, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22188 + ... + 27479.

It is an arithmetic number, because the mean of its divisors is an integer number (7077690).

Almost surely, 2131418882 is an apocalyptic number.

131418882 is an abundant number, since it is smaller than the sum of its proper divisors (208310238).

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

131418882 is a wasteful number, since it uses less digits than its factorization.

131418882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49692 (or 49679 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 131418882 is about 11463.8074826822. The cubic root of 131418882 is about 508.4160545723.

The spelling of 131418882 in words is "one hundred thirty-one million, four hundred eighteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 49667 99334 149001 298002 347669 447003 695338 894006 1043007 1341009 2086014 2433683 2682018 3129021 4867366 6258042 7301049 9387063 14602098 18774126 21903147 43806294 65709441 131418882