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131345409 = 31313924229
BaseRepresentation
bin1111101010000…
…10110000000001
3100011011001000210
413311002300001
5232111023114
621011104333
73153263136
oct765026001
9304131023
10131345409
1168160828
1237ba20a9
1321299ca0
141363058d
15b7e7259
hex7d42c01

131345409 has 16 divisors (see below), whose sum is σ = 189963200. Its totient is φ = 80243136.

The previous prime is 131345407. The next prime is 131345429. The reversal of 131345409 is 904543131.

It is not a de Polignac number, because 131345409 - 21 = 131345407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131345407) 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 15 ways as a sum of consecutive naturals, for example, 6694 + ... + 17535.

It is an arithmetic number, because the mean of its divisors is an integer number (11872700).

Almost surely, 2131345409 is an apocalyptic number.

It is an amenable number.

131345409 is a deficient number, since it is larger than the sum of its proper divisors (58617791).

131345409 is a wasteful number, since it uses less digits than its factorization.

131345409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24384.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 131345409 is about 11460.6024710745. The cubic root of 131345409 is about 508.3212893560.

The spelling of 131345409 in words is "one hundred thirty-one million, three hundred forty-five thousand, four hundred nine".

Divisors: 1 3 13 39 139 417 1807 5421 24229 72687 314977 944931 3367831 10103493 43781803 131345409