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311123011057 is a prime number
BaseRepresentation
bin1001000011100000110…
…00000110010111110001
31002202001200211112102121
410201300120012113301
520044134442323212
6354532233514241
731322626650115
oct4416030062761
91082050745377
10311123011057
1110aa45913121
125036a572981
1323453395861
14110b64b3745
15815de4ad07
hex48706065f1

311123011057 has 2 divisors, whose sum is σ = 311123011058. Its totient is φ = 311123011056.

The previous prime is 311123010983. The next prime is 311123011163. The reversal of 311123011057 is 750110321113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298994614416 + 12128396641 = 546804^2 + 110129^2 .

It is an emirp because it is prime and its reverse (750110321113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311123011057 - 235 = 276763272689 is a prime.

It is not a weakly prime, because it can be changed into another prime (311123011657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155561505528 + 155561505529.

It is an arithmetic number, because the mean of its divisors is an integer number (155561505529).

Almost surely, 2311123011057 is an apocalyptic number.

It is an amenable number.

311123011057 is a deficient number, since it is larger than the sum of its proper divisors (1).

311123011057 is an equidigital number, since it uses as much as digits as its factorization.

311123011057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 25.

The spelling of 311123011057 in words is "three hundred eleven billion, one hundred twenty-three million, eleven thousand, fifty-seven".