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131147268 = 22377919763
BaseRepresentation
bin1111101000100…
…10011000000100
3100010202222020020
413310102120010
5232033203033
621002535140
73151506360
oct764223004
9303688206
10131147268
116803597a
1237b074b0
132122aa45
14135bc2a0
15b7a86b3
hex7d12604

131147268 has 48 divisors (see below), whose sum is σ = 354170880. Its totient is φ = 36994464.

The previous prime is 131147239. The next prime is 131147293. The reversal of 131147268 is 862741131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3246 + ... + 16517.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2131147268 is an apocalyptic number.

It is an amenable number.

131147268 is an abundant number, since it is smaller than the sum of its proper divisors (223023612).

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

131147268 is a wasteful number, since it uses less digits than its factorization.

131147268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19856 (or 19854 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 131147268 is about 11451.9547676368. The cubic root of 131147268 is about 508.0655515054.

Adding to 131147268 its reverse (862741131), we get a palindrome (993888399).

The spelling of 131147268 in words is "one hundred thirty-one million, one hundred forty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 19763 39526 59289 79052 118578 138341 237156 276682 415023 553364 830046 1561277 1660092 3122554 4683831 6245108 9367662 10928939 18735324 21857878 32786817 43715756 65573634 131147268