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122109595813 is a prime number
BaseRepresentation
bin111000110111001001…
…1001001000010100101
3102200012000202011220201
41301232103021002211
54000040024031223
6132032452230501
711551663303342
oct1615623110245
9380160664821
10122109595813
1147871757737
121b7ba30b431
13b690284b0a
145ca55ad7c9
15329a2b5ead
hex1c6e4c90a5

122109595813 has 2 divisors, whose sum is σ = 122109595814. Its totient is φ = 122109595812.

The previous prime is 122109595801. The next prime is 122109595819. The reversal of 122109595813 is 318595901221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80964718849 + 41144876964 = 284543^2 + 202842^2 .

It is a cyclic number.

It is not a de Polignac number, because 122109595813 - 25 = 122109595781 is a prime.

It is a super-2 number, since 2×1221095958132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122109595819) 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, 61054797906 + 61054797907.

It is an arithmetic number, because the mean of its divisors is an integer number (61054797907).

Almost surely, 2122109595813 is an apocalyptic number.

It is an amenable number.

122109595813 is a deficient number, since it is larger than the sum of its proper divisors (1).

122109595813 is an equidigital number, since it uses as much as digits as its factorization.

122109595813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 46.

The spelling of 122109595813 in words is "one hundred twenty-two billion, one hundred nine million, five hundred ninety-five thousand, eight hundred thirteen".