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122311131331 is a prime number
BaseRepresentation
bin111000111101001001…
…1111100000011000011
3102200201001222020200011
41301322103330003003
54000443122200311
6132104452005351
711556661314424
oct1617223740303
9380631866604
10122311131331
1147965499314
121b855900857
13b6c2c58cbc
145cc427164b
1532acd25321
hex1c7a4fc0c3

122311131331 has 2 divisors, whose sum is σ = 122311131332. Its totient is φ = 122311131330.

The previous prime is 122311131329. The next prime is 122311131379. The reversal of 122311131331 is 133131113221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122311131331 - 21 = 122311131329 is a prime.

It is a super-2 number, since 2×1223111313312 (a number of 23 digits) contains 22 as substring.

Together with 122311131329, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122311131311) 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, 61155565665 + 61155565666.

It is an arithmetic number, because the mean of its divisors is an integer number (61155565666).

Almost surely, 2122311131331 is an apocalyptic number.

122311131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311131331 is an equidigital number, since it uses as much as digits as its factorization.

122311131331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

Adding to 122311131331 its reverse (133131113221), we get a palindrome (255442244552).

The spelling of 122311131331 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred thirty-one thousand, three hundred thirty-one".