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131085435 = 35136471039
BaseRepresentation
bin1111101000000…
…11010001111011
3100010122211102010
413310003101323
5232024213220
621001341003
73151131165
oct764032173
9303584363
10131085435
1167aa3478
1237a97763
1321208860
14135a3935
15b7951e0
hex7d0347b

131085435 has 32 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 64372608.

The previous prime is 131085431. The next prime is 131085439. The reversal of 131085435 is 534580131.

It is an interprime number because it is at equal distance from previous prime (131085431) and next prime (131085439).

It is not a de Polignac number, because 131085435 - 22 = 131085431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131085431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125646 + ... + 126684.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2131085435 is an apocalyptic number.

131085435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131085435 is a deficient number, since it is larger than the sum of its proper divisors (95351685).

131085435 is a wasteful number, since it uses less digits than its factorization.

131085435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 131085435 is about 11449.2547792422. The cubic root of 131085435 is about 507.9856917767.

The spelling of 131085435 in words is "one hundred thirty-one million, eighty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 195 647 1039 1941 3117 3235 5195 8411 9705 13507 15585 25233 40521 42055 67535 126165 202605 672233 2016699 3361165 8739029 10083495 26217087 43695145 131085435