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122131124933 is a prime number
BaseRepresentation
bin111000110111110010…
…1010001001011000101
3102200020112020222022112
41301233211101023011
54000111031444213
6132034541510405
711552344301426
oct1615745211305
9380215228275
10122131124933
11478829218a4
121b805572405
13b69488223c
145ca83b564d
15329c119ea8
hex1c6f9512c5

122131124933 has 2 divisors, whose sum is σ = 122131124934. Its totient is φ = 122131124932.

The previous prime is 122131124911. The next prime is 122131125037. The reversal of 122131124933 is 339421131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107228086849 + 14903038084 = 327457^2 + 122078^2 .

It is an emirp because it is prime and its reverse (339421131221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122131124933 - 228 = 121862689477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122131124933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131126933) 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, 61065562466 + 61065562467.

It is an arithmetic number, because the mean of its divisors is an integer number (61065562467).

Almost surely, 2122131124933 is an apocalyptic number.

It is an amenable number.

122131124933 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131124933 is an equidigital number, since it uses as much as digits as its factorization.

122131124933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The spelling of 122131124933 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-four thousand, nine hundred thirty-three".