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122120213113 is a prime number
BaseRepresentation
bin111000110111011101…
…1101001001001111001
3102200012202201121010001
41301232323221021321
54000100233304423
6132033511553001
711552152453513
oct1615673511171
9380182647101
10122120213113
1147877749668
121b80198b761
13b692531642
145ca6b74bb3
15329b1b1cad
hex1c6eee9279

122120213113 has 2 divisors, whose sum is σ = 122120213114. Its totient is φ = 122120213112.

The previous prime is 122120213107. The next prime is 122120213147. The reversal of 122120213113 is 311312021221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88787312784 + 33332900329 = 297972^2 + 182573^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120213113 - 25 = 122120213081 is a prime.

It is not a weakly prime, because it can be changed into another prime (122120211113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060106556 + 61060106557.

It is an arithmetic number, because the mean of its divisors is an integer number (61060106557).

Almost surely, 2122120213113 is an apocalyptic number.

It is an amenable number.

122120213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120213113 is an equidigital number, since it uses as much as digits as its factorization.

122120213113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122120213113 its reverse (311312021221), we get a palindrome (433432234334).

The spelling of 122120213113 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred thirteen thousand, one hundred thirteen".