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311222132057 is a prime number
BaseRepresentation
bin1001000011101100100…
…10001101110101011001
31002202022121100101212202
410201312102031311121
520044340331211212
6354550134215545
731325242321454
oct4416622156531
91082277311782
10311222132057
1110aa96864201
12503977b45b5
132346aa8c235
14110c571649b
1581679ca0c2
hex487648dd59

311222132057 has 2 divisors, whose sum is σ = 311222132058. Its totient is φ = 311222132056.

The previous prime is 311222131999. The next prime is 311222132059. The reversal of 311222132057 is 750231222113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309509744896 + 1712387161 = 556336^2 + 41381^2 .

It is a cyclic number.

It is not a de Polignac number, because 311222132057 - 212 = 311222127961 is a prime.

Together with 311222132059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (311222132059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155611066028 + 155611066029.

It is an arithmetic number, because the mean of its divisors is an integer number (155611066029).

Almost surely, 2311222132057 is an apocalyptic number.

It is an amenable number.

311222132057 is a deficient number, since it is larger than the sum of its proper divisors (1).

311222132057 is an equidigital number, since it uses as much as digits as its factorization.

311222132057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 311222132057 in words is "three hundred eleven billion, two hundred twenty-two million, one hundred thirty-two thousand, fifty-seven".