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131205424 = 2471171477
BaseRepresentation
bin1111101001000…
…00100100110000
3100010212221000011
413310200210300
5232042033144
621004104304
73152141050
oct764404460
9303787004
10131205424
1168075639
1237b35094
132124b35c
14135d5560
15b7baa34
hex7d20930

131205424 has 20 divisors (see below), whose sum is σ = 290526544. Its totient is φ = 56230848.

The previous prime is 131205419. The next prime is 131205443. The reversal of 131205424 is 424502131.

It is a junction number, because it is equal to n+sod(n) for n = 131205395 and 131205404.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 585627 + ... + 585850.

Almost surely, 2131205424 is an apocalyptic number.

131205424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131205424 is an abundant number, since it is smaller than the sum of its proper divisors (159321120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131205424 is a wasteful number, since it uses less digits than its factorization.

131205424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171492 (or 1171486 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 131205424 is about 11454.4936160443. The cubic root of 131205424 is about 508.1406393419.

Adding to 131205424 its reverse (424502131), we get a palindrome (555707555).

The spelling of 131205424 in words is "one hundred thirty-one million, two hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1171477 2342954 4685908 8200339 9371816 16400678 18743632 32801356 65602712 131205424