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312113123013011 = 192631249385312979
BaseRepresentation
bin100011011110111010111111…
…1110100111011000110010011
31111221002201112011221011111012
41012331311333310323012103
5311402130133442404021
63023450442253041135
7122512300101316205
oct10675657764730623
91457081464834435
10312113123013011
11904a3483194321
122b0097454861ab
13105201ab316298
1457104da2a2775
152613ba2b1935b
hex11bdd7fd3b193

312113123013011 has 32 divisors (see below), whose sum is σ = 330164472000000. Its totient is φ = 294226936593408.

The previous prime is 312113123013007. The next prime is 312113123013053. The reversal of 312113123013011 is 110310321311213.

It is a cyclic number.

It is not a de Polignac number, because 312113123013011 - 22 = 312113123013007 is a prime.

It is a super-2 number, since 2×3121131230130112 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312113123013911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24047541320 + ... + 24047554298.

It is an arithmetic number, because the mean of its divisors is an integer number (10317639750000).

Almost surely, 2312113123013011 is an apocalyptic number.

312113123013011 is a deficient number, since it is larger than the sum of its proper divisors (18051348986989).

312113123013011 is a wasteful number, since it uses less digits than its factorization.

312113123013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18363.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 312113123013011 its reverse (110310321311213), we get a palindrome (422423444324224).

The spelling of 312113123013011 in words is "three hundred twelve trillion, one hundred thirteen billion, one hundred twenty-three million, thirteen thousand, eleven".

Divisors: 1 19 263 1249 3853 4997 12979 23731 73207 246601 328487 1013339 3413477 4812397 6241253 16210771 19253441 50008087 64856063 91435543 308004649 950153653 1265660411 4263432773 13152126881 24047547809 62460100663 81005222687 249890410739 1186741912597 16427006474369 312113123013011