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131053431 = 3198327701
BaseRepresentation
bin1111100111110…
…11011101110111
3100010121012111210
413303323131313
5232022202211
621000532503
73150635655
oct763733567
9303535453
10131053431
1167a81423
1237a81133
13211c7112
1413595dd5
15b78a9a6
hex7cfb777

131053431 has 16 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 81770400.

The previous prime is 131053427. The next prime is 131053441. The reversal of 131053431 is 134350131.

It is not a de Polignac number, because 131053431 - 22 = 131053427 is a prime.

It is a super-2 number, since 2×1310534312 = 34350003553743522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131053398 and 131053407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131053441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9120 + ... + 18581.

It is an arithmetic number, because the mean of its divisors is an integer number (11634840).

Almost surely, 2131053431 is an apocalyptic number.

131053431 is a deficient number, since it is larger than the sum of its proper divisors (55104009).

131053431 is a wasteful number, since it uses less digits than its factorization.

131053431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131053431 is about 11447.8570483737. The cubic root of 131053431 is about 507.9443475004.

The spelling of 131053431 in words is "one hundred thirty-one million, fifty-three thousand, four hundred thirty-one".

Divisors: 1 3 19 57 83 249 1577 4731 27701 83103 526319 1578957 2299183 6897549 43684477 131053431