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311113312020193 is a prime number
BaseRepresentation
bin100011010111101001011011…
…0011100101010011011100001
31111210120010211122011022010011
41012233102312130222123201
5311234240030334121233
63021403252113404521
7122350123620151414
oct10657226634523341
91453503748138104
10311113312020193
1190148461a23311
122aa87a16869741
1310479b23256317
1456b7d70db9b7b
1525e7b87c8a0cd
hex11af4b672a6e1

311113312020193 has 2 divisors, whose sum is σ = 311113312020194. Its totient is φ = 311113312020192.

The previous prime is 311113312020109. The next prime is 311113312020331. The reversal of 311113312020193 is 391020213311113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209621952718929 + 101491359301264 = 14478327^2 + 10074292^2 .

It is a cyclic number.

It is not a de Polignac number, because 311113312020193 - 29 = 311113312019681 is a prime.

It is not a weakly prime, because it can be changed into another prime (311113312026193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155556656010096 + 155556656010097.

It is an arithmetic number, because the mean of its divisors is an integer number (155556656010097).

Almost surely, 2311113312020193 is an apocalyptic number.

It is an amenable number.

311113312020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

311113312020193 is an equidigital number, since it uses as much as digits as its factorization.

311113312020193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 311113312020193 in words is "three hundred eleven trillion, one hundred thirteen billion, three hundred twelve million, twenty thousand, one hundred ninety-three".