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313008127812 = 223228373064741
BaseRepresentation
bin1001000111000001011…
…11001111111101000100
31002220221002000101110200
410203200233033331010
520112020040042222
6355443254250500
731420430121252
oct4434057177504
91086832011420
10313008127812
11110822a23256
12507b5956a30
1323693ab7c63
14112149c55d2
15821e6b8eac
hex48e0bcff44

313008127812 has 36 divisors (see below), whose sum is σ = 791494139436. Its totient is φ = 104299231680.

The previous prime is 313008127807. The next prime is 313008127819. The reversal of 313008127812 is 218721800313.

313008127812 is a `hidden beast` number, since 3 + 1 + 300 + 81 + 278 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25212358656 + 287795769156 = 158784^2 + 536466^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313008127819) 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, 1430239 + ... + 1634502.

Almost surely, 2313008127812 is an apocalyptic number.

It is an amenable number.

313008127812 is an abundant number, since it is smaller than the sum of its proper divisors (478486011624).

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

313008127812 is a wasteful number, since it uses less digits than its factorization.

313008127812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067588 (or 3067583 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 313008127812 in words is "three hundred thirteen billion, eight million, one hundred twenty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2837 5674 8511 11348 17022 25533 34044 51066 102132 3064741 6129482 9194223 12258964 18388446 27582669 36776892 55165338 110330676 8694670217 17389340434 26084010651 34778680868 52168021302 78252031953 104336042604 156504063906 313008127812