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131080401 = 3221296841
BaseRepresentation
bin1111101000000…
…10000011010001
3100010122120111200
413310002003101
5232024033101
621001301413
73151110414
oct764020321
9303576450
10131080401
1167a9a711
1237a94869
132120648a
14135a1b7b
15b793986
hex7d020d1

131080401 has 12 divisors (see below), whose sum is σ = 189454980. Its totient is φ = 87333120.

The previous prime is 131080361. The next prime is 131080409. The reversal of 131080401 is 104080131.

It can be written as a sum of positive squares in 2 ways, for example, as 66438801 + 64641600 = 8151^2 + 8040^2 .

It is not a de Polignac number, because 131080401 - 29 = 131079889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131080409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15741 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (15787915).

Almost surely, 2131080401 is an apocalyptic number.

It is an amenable number.

131080401 is a deficient number, since it is larger than the sum of its proper divisors (58374579).

131080401 is a wasteful number, since it uses less digits than its factorization.

131080401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131080401 is about 11449.0349374958. The cubic root of 131080401 is about 507.9791890642.

The spelling of 131080401 in words is "one hundred thirty-one million, eighty thousand, four hundred one".

Divisors: 1 3 9 2129 6387 6841 19161 20523 61569 14564489 43693467 131080401