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122311222057 is a prime number
BaseRepresentation
bin111000111101001010…
…0010010001100101001
3102200201002010212010101
41301322110102030221
54000443133101212
6132104453545401
711556662143063
oct1617224221451
9380632125111
10122311222057
11479655504a2
121b855945261
13b6c2c8b39b
145cc4296733
1532acd42157
hex1c7a512329

122311222057 has 2 divisors, whose sum is σ = 122311222058. Its totient is φ = 122311222056.

The previous prime is 122311222051. The next prime is 122311222123. The reversal of 122311222057 is 750222113221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108775295721 + 13535926336 = 329811^2 + 116344^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311222057 - 227 = 122177004329 is a prime.

It is a super-2 number, since 2×1223112220572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122311222051) 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, 61155611028 + 61155611029.

It is an arithmetic number, because the mean of its divisors is an integer number (61155611029).

Almost surely, 2122311222057 is an apocalyptic number.

It is an amenable number.

122311222057 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311222057 is an equidigital number, since it uses as much as digits as its factorization.

122311222057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 122311222057 its reverse (750222113221), we get a palindrome (872533335278).

The spelling of 122311222057 in words is "one hundred twenty-two billion, three hundred eleven million, two hundred twenty-two thousand, fifty-seven".