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131256333 = 32134632423
BaseRepresentation
bin1111101001011…
…01000000001101
3100010222111211200
413310231000031
5232100200313
621005140113
73152442345
oct764550015
9303874750
10131256333
11680aa90a
1237b5a639
1321268590
1413609d25
15b7cab73
hex7d2d00d

131256333 has 24 divisors (see below), whose sum is σ = 204701952. Its totient is φ = 80565408.

The previous prime is 131256329. The next prime is 131256347. The reversal of 131256333 is 333652131.

It is a happy number.

131256333 is a `hidden beast` number, since 1 + 3 + 1 + 25 + 633 + 3 = 666.

It is not a de Polignac number, because 131256333 - 22 = 131256329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131256297 and 131256306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131256373) by changing a digit.

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, 52960 + ... + 55382.

It is an arithmetic number, because the mean of its divisors is an integer number (8529248).

Almost surely, 2131256333 is an apocalyptic number.

131256333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131256333 is a deficient number, since it is larger than the sum of its proper divisors (73445619).

131256333 is a wasteful number, since it uses less digits than its factorization.

131256333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2902 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 131256333 is about 11456.7156288353. The cubic root of 131256333 is about 508.2063520387.

The spelling of 131256333 in words is "one hundred thirty-one million, two hundred fifty-six thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 463 1389 2423 4167 6019 7269 18057 21807 31499 54171 94497 283491 1121849 3365547 10096641 14584037 43752111 131256333