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122139645113 is a prime number
BaseRepresentation
bin111000111000000010…
…1110001010010111001
3102200021010021211210202
41301300011301102321
54000120222120423
6132035444251545
711552506565543
oct1616005612271
9380233254722
10122139645113
1147887711172
121b8083a0bb5
13b696576375
145ca9592693
15329cc4e728
hex1c701714b9

122139645113 has 2 divisors, whose sum is σ = 122139645114. Its totient is φ = 122139645112.

The previous prime is 122139645097. The next prime is 122139645157. The reversal of 122139645113 is 311546931221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89758362409 + 32381282704 = 299597^2 + 179948^2 .

It is an emirp because it is prime and its reverse (311546931221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122139645113 - 24 = 122139645097 is a prime.

It is not a weakly prime, because it can be changed into another prime (122139605113) 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, 61069822556 + 61069822557.

It is an arithmetic number, because the mean of its divisors is an integer number (61069822557).

Almost surely, 2122139645113 is an apocalyptic number.

It is an amenable number.

122139645113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122139645113 is an equidigital number, since it uses as much as digits as its factorization.

122139645113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 38.

The spelling of 122139645113 in words is "one hundred twenty-two billion, one hundred thirty-nine million, six hundred forty-five thousand, one hundred thirteen".