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12815264331 = 3214107100937
BaseRepresentation
bin10111110111101100…
…10110101001001011
31020002010011212202200
423323312112221023
5202221201424311
65515351331243
7632400643452
oct137366265113
936063155680
1012815264331
115486978851
122597980b23
13129303045c
14897ddbb99
15500110556
hex2fbd96a4b

12815264331 has 12 divisors (see below), whose sum is σ = 18512432952. Its totient is φ = 8542819296.

The previous prime is 12815264317. The next prime is 12815264333. The reversal of 12815264331 is 13346251821.

12815264331 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 5 + 2 + 643 + 3 + 1 = 666.

It is not a de Polignac number, because 12815264331 - 25 = 12815264299 is a prime.

It is a super-2 number, since 2×128152643312 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12815264333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76495 + ... + 177431.

It is an arithmetic number, because the mean of its divisors is an integer number (1542702746).

Almost surely, 212815264331 is an apocalyptic number.

12815264331 is a deficient number, since it is larger than the sum of its proper divisors (5697168621).

12815264331 is a wasteful number, since it uses less digits than its factorization.

12815264331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115050 (or 115047 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12815264331 in words is "twelve billion, eight hundred fifteen million, two hundred sixty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 14107 42321 100937 126963 302811 908433 1423918259 4271754777 12815264331