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510082131 = 31329607743
BaseRepresentation
bin11110011001110…
…011110001010011
31022112210212010210
4132121303301103
52021040112011
6122340455203
715432424626
oct3631636123
91275725123
10510082131
11241a23289
121229aa503
13818a5160
144ba5bdbd
152ebaa6a6
hex1e673c53

510082131 has 32 divisors (see below), whose sum is σ = 759951360. Its totient is φ = 302166144.

The previous prime is 510082129. The next prime is 510082147. The reversal of 510082131 is 131280015.

It is not a de Polignac number, because 510082131 - 21 = 510082129 is a prime.

It is a super-2 number, since 2×5100821312 = 520367560731002322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 510082098 and 510082107.

It is not an unprimeable number, because it can be changed into a prime (510082121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 686146 + ... + 686888.

It is an arithmetic number, because the mean of its divisors is an integer number (23748480).

Almost surely, 2510082131 is an apocalyptic number.

510082131 is a deficient number, since it is larger than the sum of its proper divisors (249869229).

510082131 is a wasteful number, since it uses less digits than its factorization.

510082131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 510082131 is about 22584.9979189727. The cubic root of 510082131 is about 798.9998600670. Note that the first 3 decimals are identical.

The spelling of 510082131 in words is "five hundred ten million, eighty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 29 39 87 377 607 743 1131 1821 2229 7891 9659 17603 21547 23673 28977 52809 64641 228839 280111 451001 686517 840333 1353003 5863013 13079029 17589039 39237087 170027377 510082131