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122331133157 is a prime number
BaseRepresentation
bin111000111101110000…
…0001111010011100101
3102200202110121110000112
41301323200033103211
54001013232230112
6132110444422405
711560323321662
oct1617340172345
9380673543015
10122331133157
114797580aa52
121b860547a05
13b6c71401bc
145cc6b9aa69
1532ae976a22
hex1c7b80f4e5

122331133157 has 2 divisors, whose sum is σ = 122331133158. Its totient is φ = 122331133156.

The previous prime is 122331133063. The next prime is 122331133159. The reversal of 122331133157 is 751331133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88681266436 + 33649866721 = 297794^2 + 183439^2 .

It is a cyclic number.

It is not a de Polignac number, because 122331133157 - 214 = 122331116773 is a prime.

It is a super-2 number, since 2×1223311331572 (a number of 23 digits) contains 22 as substring.

Together with 122331133159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122331133159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165566578 + 61165566579.

It is an arithmetic number, because the mean of its divisors is an integer number (61165566579).

Almost surely, 2122331133157 is an apocalyptic number.

It is an amenable number.

122331133157 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331133157 is an equidigital number, since it uses as much as digits as its factorization.

122331133157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11340, while the sum is 32.

Adding to 122331133157 its reverse (751331133221), we get a palindrome (873662266378).

The spelling of 122331133157 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred fifty-seven".