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122331135049 is a prime number
BaseRepresentation
bin111000111101110000…
…0001111110001001001
3102200202110121112121121
41301323200033301021
54001013232310144
6132110444435241
711560323330334
oct1617340176111
9380673545547
10122331135049
1147975811412
121b860548b21
13b6c7141016
145cc6b9b61b
1532ae977384
hex1c7b80fc49

122331135049 has 2 divisors, whose sum is σ = 122331135050. Its totient is φ = 122331135048.

The previous prime is 122331135013. The next prime is 122331135053. The reversal of 122331135049 is 940531133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113916375225 + 8414759824 = 337515^2 + 91732^2 .

It is a cyclic number.

It is not a de Polignac number, because 122331135049 - 233 = 113741200457 is a prime.

It is not a weakly prime, because it can be changed into another prime (122331135149) 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, 61165567524 + 61165567525.

It is an arithmetic number, because the mean of its divisors is an integer number (61165567525).

Almost surely, 2122331135049 is an apocalyptic number.

It is an amenable number.

122331135049 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331135049 is an equidigital number, since it uses as much as digits as its factorization.

122331135049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 122331135049 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-five thousand, forty-nine".