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312113122013 = 7116316423799
BaseRepresentation
bin1001000101010110110…
…01000100101011011101
31002211121200220101022202
410202223121010223131
520103201424401023
6355214403221245
731356311523020
oct4425331045335
91084550811282
10312113122013
111104037a2140
12505a6077825
132358054c824
141116bba91b7
1581bad27128
hex48ab644add

312113122013 has 16 divisors (see below), whose sum is σ = 389744793600. Its totient is φ = 242819564400.

The previous prime is 312113122007. The next prime is 312113122039. The reversal of 312113122013 is 310221311213.

It is a happy number.

It is not a de Polignac number, because 312113122013 - 28 = 312113121757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3163313 + ... + 3260486.

It is an arithmetic number, because the mean of its divisors is an integer number (24359049600).

Almost surely, 2312113122013 is an apocalyptic number.

It is an amenable number.

312113122013 is a deficient number, since it is larger than the sum of its proper divisors (77631671587).

312113122013 is a wasteful number, since it uses less digits than its factorization.

312113122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424448.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312113122013 its reverse (310221311213), we get a palindrome (622334433226).

The spelling of 312113122013 in words is "three hundred twelve billion, one hundred thirteen million, one hundred twenty-two thousand, thirteen".

Divisors: 1 7 11 77 631 4417 6941 48587 6423799 44966593 70661789 494632523 4053417169 28373920183 44587588859 312113122013