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122153652157 is a prime number
BaseRepresentation
bin111000111000011101…
…1001100111110111101
3102200022002122110212011
41301300323030332331
54000132313332112
6132041104411221
711553036624445
oct1616073147675
9380262573764
10122153652157
1147894608939
121b811016b11
13b69943ba64
145cab39b125
15329e0b9aa7
hex1c70eccfbd

122153652157 has 2 divisors, whose sum is σ = 122153652158. Its totient is φ = 122153652156.

The previous prime is 122153652053. The next prime is 122153652161. The reversal of 122153652157 is 751256351221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66451043961 + 55702608196 = 257781^2 + 236014^2 .

It is a cyclic number.

It is not a de Polignac number, because 122153652157 - 223 = 122145263549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122153652197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61076826078 + 61076826079.

It is an arithmetic number, because the mean of its divisors is an integer number (61076826079).

Almost surely, 2122153652157 is an apocalyptic number.

It is an amenable number.

122153652157 is a deficient number, since it is larger than the sum of its proper divisors (1).

122153652157 is an equidigital number, since it uses as much as digits as its factorization.

122153652157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 40.

The spelling of 122153652157 in words is "one hundred twenty-two billion, one hundred fifty-three million, six hundred fifty-two thousand, one hundred fifty-seven".