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131003824 = 2471169677
BaseRepresentation
bin1111100111011…
…11010110110000
3100010111200110111
413303233112300
5232014110244
620555511104
73150341230
oct763572660
9303450414
10131003824
1167a48126
1237a58494
13211aa673
1413581cc0
15b77ae34
hex7cef5b0

131003824 has 20 divisors (see below), whose sum is σ = 290080144. Its totient is φ = 56144448.

The previous prime is 131003779. The next prime is 131003849. The reversal of 131003824 is 428300131.

It is a junction number, because it is equal to n+sod(n) for n = 131003795 and 131003804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 584727 + ... + 584950.

Almost surely, 2131003824 is an apocalyptic number.

131003824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131003824 is an abundant number, since it is smaller than the sum of its proper divisors (159076320).

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

131003824 is a wasteful number, since it uses less digits than its factorization.

131003824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169692 (or 1169686 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 131003824 is about 11445.6901932561. The cubic root of 131003824 is about 507.8802495341.

Adding to 131003824 its reverse (428300131), we get a palindrome (559303955).

The spelling of 131003824 in words is "one hundred thirty-one million, three thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1169677 2339354 4678708 8187739 9357416 16375478 18714832 32750956 65501912 131003824