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12313011303311 = 435346328514093
BaseRepresentation
bin1011001100101101100010…
…1010100011001110001111
31121121010000221001211020012
42303023120222203032033
53103214021343201221
642104304100343435
72410404620130635
oct263133052431617
947533027054205
1012313011303311
113a17a11976934
12146a4166a4b7b
136b415c04a024
14307d4ab8d355
15165452a1565b
hexb32d8aa338f

12313011303311 has 32 divisors (see below), whose sum is σ = 12872466680832. Its totient is φ = 11767253097600.

The previous prime is 12313011303269. The next prime is 12313011303407. The reversal of 12313011303311 is 11330311031321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12313011303311 is a prime.

It is a super-2 number, since 2×123130113033112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313011303511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3008307581 + ... + 3008311673.

It is an arithmetic number, because the mean of its divisors is an integer number (402264583776).

Almost surely, 212313011303311 is an apocalyptic number.

12313011303311 is a deficient number, since it is larger than the sum of its proper divisors (559455377521).

12313011303311 is a wasteful number, since it uses less digits than its factorization.

12313011303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 12313011303311 its reverse (11330311031321), we get a palindrome (23643322334632).

The spelling of 12313011303311 in words is "twelve trillion, three hundred thirteen billion, eleven million, three hundred three thousand, three hundred eleven".

Divisors: 1 43 53 463 2279 2851 4093 19909 24539 122593 151103 175999 216929 1055177 1320013 1895059 6497429 9327947 11669143 56760559 69960689 81487537 100438127 501773149 618464579 3008309627 4318839461 5402813209 26593976897 232320967987 286349100077 12313011303311