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311310322217 is a prime number
BaseRepresentation
bin1001000011110111000…
…10101000101000101001
31002202112202021221000222
410201323202220220221
520100030420302332
6355003004335425
731330363035566
oct4417342505051
91082482257028
10311310322217
11110031619834
1250401244575
132348312946b
14110d331186d
1581705ea712
hex487b8a8a29

311310322217 has 2 divisors, whose sum is σ = 311310322218. Its totient is φ = 311310322216.

The previous prime is 311310322123. The next prime is 311310322231. The reversal of 311310322217 is 712223013113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297456796816 + 13853525401 = 545396^2 + 117701^2 .

It is a cyclic number.

It is not a de Polignac number, because 311310322217 - 214 = 311310305833 is a prime.

It is not a weakly prime, because it can be changed into another prime (311310322417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155655161108 + 155655161109.

It is an arithmetic number, because the mean of its divisors is an integer number (155655161109).

Almost surely, 2311310322217 is an apocalyptic number.

It is an amenable number.

311310322217 is a deficient number, since it is larger than the sum of its proper divisors (1).

311310322217 is an equidigital number, since it uses as much as digits as its factorization.

311310322217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 311310322217 in words is "three hundred eleven billion, three hundred ten million, three hundred twenty-two thousand, two hundred seventeen".