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311112404211157 is a prime number
BaseRepresentation
bin100011010111101001000000…
…0010101101001010111010101
31111210120001111100221211020021
41012233102000111221113111
5311234231200434224112
63021403022044105141
7122350062255000013
oct10657220025512725
91453501440854207
10311112404211157
1190148036547a0a
122aa878028351b1
1310479a0a157403
1456b7cc65c98b3
1525e7b33219907
hex11af4805695d5

311112404211157 has 2 divisors, whose sum is σ = 311112404211158. Its totient is φ = 311112404211156.

The previous prime is 311112404211107. The next prime is 311112404211163. The reversal of 311112404211157 is 751112404211113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307699521145956 + 3412883065201 = 17541366^2 + 1847399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311112404211157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311112404211107) 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 as a sum of consecutive naturals, namely, 155556202105578 + 155556202105579.

It is an arithmetic number, because the mean of its divisors is an integer number (155556202105579).

Almost surely, 2311112404211157 is an apocalyptic number.

It is an amenable number.

311112404211157 is a deficient number, since it is larger than the sum of its proper divisors (1).

311112404211157 is an equidigital number, since it uses as much as digits as its factorization.

311112404211157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 34.

The spelling of 311112404211157 in words is "three hundred eleven trillion, one hundred twelve billion, four hundred four million, two hundred eleven thousand, one hundred fifty-seven".