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131350131 = 321131127337
BaseRepresentation
bin1111101010000…
…11111001110011
3100011011021111200
413311003321303
5232111201011
621011142243
73153312663
oct765037163
9304137450
10131350131
1168164330
1237ba4983
132129c193
14136321a3
15b7e8856
hex7d43e73

131350131 has 48 divisors (see below), whose sum is σ = 215973888. Its totient is φ = 76204800.

The previous prime is 131350103. The next prime is 131350133. The reversal of 131350131 is 131053131.

131350131 is a `hidden beast` number, since 131 + 3 + 501 + 31 = 666.

It is not a de Polignac number, because 131350131 - 25 = 131350099 is a prime.

It is a super-2 number, since 2×1313501312 = 34505713827434322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131350133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389595 + ... + 389931.

It is an arithmetic number, because the mean of its divisors is an integer number (4499456).

Almost surely, 2131350131 is an apocalyptic number.

131350131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131350131 is a deficient number, since it is larger than the sum of its proper divisors (84623757).

131350131 is a wasteful number, since it uses less digits than its factorization.

131350131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 131350131 is about 11460.8084793351. The cubic root of 131350131 is about 508.3273808375.

The spelling of 131350131 in words is "one hundred thirty-one million, three hundred fifty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 127 279 337 341 381 1011 1023 1143 1397 3033 3069 3707 3937 4191 10447 11121 11811 12573 31341 33363 35433 42799 43307 94023 114917 128397 129921 344751 385191 389763 470789 1034253 1326769 1412367 3980307 4237101 11940921 14594459 43783377 131350131