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311240222042113 = 71318143188514701
BaseRepresentation
bin100011011000100100100001…
…0110111111110100000000001
31111211000021102012202101200101
41012301021002313332200001
5311243324433320321423
63021541441211522401
7122362235563431340
oct10661110267764001
91454007365671611
10311240222042113
1190197267366151
122aaa8534759401
1310488a99c01650
1456c016dd39b57
1525eb1146d47ad
hex11b1242dfe801

311240222042113 has 16 divisors (see below), whose sum is σ = 383086004345856. Its totient is φ = 246242425492800.

The previous prime is 311240222042107. The next prime is 311240222042129.

311240222042113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311240222042113 - 229 = 311239685171201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311240222045113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92606338 + ... + 95908363.

It is an arithmetic number, because the mean of its divisors is an integer number (23942875271616).

Almost surely, 2311240222042113 is an apocalyptic number.

It is an amenable number.

311240222042113 is a deficient number, since it is larger than the sum of its proper divisors (71845782303743).

311240222042113 is a wasteful number, since it uses less digits than its factorization.

311240222042113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188532864.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 311240222042113 in words is "three hundred eleven trillion, two hundred forty billion, two hundred twenty-two million, forty-two thousand, one hundred thirteen".

Divisors: 1 7 13 91 18143 127001 235859 1651013 188514701 1319602907 2450691113 17154837791 3420222220243 23941555541701 44462888863159 311240222042113