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131907131 = 1773106291
BaseRepresentation
bin1111101110010…
…11111000111011
3100012012120120022
413313023320323
5232232012011
621031121055
73161122616
oct767137073
9305176508
10131907131
1168504864
123821318b
1321435875
141373917d
15b8a88db
hex7dcbe3b

131907131 has 8 divisors (see below), whose sum is σ = 141580944. Its totient is φ = 122446080.

The previous prime is 131907103. The next prime is 131907133. The reversal of 131907131 is 131709131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131907131 - 218 = 131644987 is a prime.

It is a super-2 number, since 2×1319071312 = 34798982417302322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131907131.

It is not an unprimeable number, because it can be changed into a prime (131907133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51905 + ... + 54386.

It is an arithmetic number, because the mean of its divisors is an integer number (17697618).

Almost surely, 2131907131 is an apocalyptic number.

131907131 is a deficient number, since it is larger than the sum of its proper divisors (9673813).

131907131 is a wasteful number, since it uses less digits than its factorization.

131907131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106381.

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 131907131 is about 11485.0829774974. The cubic root of 131907131 is about 509.0449009143.

The spelling of 131907131 in words is "one hundred thirty-one million, nine hundred seven thousand, one hundred thirty-one".

Divisors: 1 17 73 1241 106291 1806947 7759243 131907131