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131117941 = 316916121
BaseRepresentation
bin1111101000010…
…11001101110101
3100010201111000001
413310023031311
5232031233231
621002151301
73151325023
oct764131565
9303644001
10131117941
1168015939
1237ab2531
132121a5a6
14135b1713
15b79eb61
hex7d0b375

131117941 has 8 divisors (see below), whose sum is σ = 135565568. Its totient is φ = 126684000.

The previous prime is 131117933. The next prime is 131117947. The reversal of 131117941 is 149711131.

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

It is a 3-Lehmer number, since φ(131117941) divides (131117941-1)3.

It is a cyclic number.

It is not a de Polignac number, because 131117941 - 23 = 131117933 is a prime.

It is a deceptive number, since it divides R131117940.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131117947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18361 + ... + 24481.

It is an arithmetic number, because the mean of its divisors is an integer number (16945696).

It is a Poulet number, since it divides 2131117940-1.

Almost surely, 2131117941 is an apocalyptic number.

131117941 is the 6121-st nonagonal number.

It is an amenable number.

131117941 is a deficient number, since it is larger than the sum of its proper divisors (4447627).

131117941 is an equidigital number, since it uses as much as digits as its factorization.

131117941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843.

The product of its digits is 756, while the sum is 28.

The square root of 131117941 is about 11450.6742596233. The cubic root of 131117941 is about 508.0276776724.

The spelling of 131117941 in words is "one hundred thirty-one million, one hundred seventeen thousand, nine hundred forty-one".

Divisors: 1 31 691 6121 21421 189751 4229611 131117941