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131083529 is a prime number
BaseRepresentation
bin1111101000000…
…10110100001001
3100010122201210112
413310002310021
5232024133104
621001324105
73151122503
oct764026411
9303581715
10131083529
1167aa1aa5
1237a96635
1321207a25
14135a2d73
15b79486e
hex7d02d09

131083529 has 2 divisors, whose sum is σ = 131083530. Its totient is φ = 131083528.

The previous prime is 131083523. The next prime is 131083541. The reversal of 131083529 is 925380131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95023504 + 36060025 = 9748^2 + 6005^2 .

It is a cyclic number.

It is not a de Polignac number, because 131083529 - 220 = 130034953 is a prime.

It is a super-3 number, since 3×1310835293 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 131083495 and 131083504.

It is not a weakly prime, because it can be changed into another prime (131083523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65541764 + 65541765.

It is an arithmetic number, because the mean of its divisors is an integer number (65541765).

Almost surely, 2131083529 is an apocalyptic number.

It is an amenable number.

131083529 is a deficient number, since it is larger than the sum of its proper divisors (1).

131083529 is an equidigital number, since it uses as much as digits as its factorization.

131083529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 131083529 is about 11449.1715420811. The cubic root of 131083529 is about 507.9832297045.

The spelling of 131083529 in words is "one hundred thirty-one million, eighty-three thousand, five hundred twenty-nine".