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122312332349 is a prime number
BaseRepresentation
bin111000111101001100…
…0100001010000111101
3102200201011020021011022
41301322120201100331
54000443424113344
6132104533433525
711560004446064
oct1617230412075
9380634207138
10122312332349
1147966139699
121b85619b8a5
13b6c328986c
145cc44a51db
1532aceb10ee
hex1c7a62143d

122312332349 has 2 divisors, whose sum is σ = 122312332350. Its totient is φ = 122312332348.

The previous prime is 122312332279. The next prime is 122312332369. The reversal of 122312332349 is 943233213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62321627449 + 59990704900 = 249643^2 + 244930^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122312332349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122312332369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156166174 + 61156166175.

It is an arithmetic number, because the mean of its divisors is an integer number (61156166175).

Almost surely, 2122312332349 is an apocalyptic number.

It is an amenable number.

122312332349 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312332349 is an equidigital number, since it uses as much as digits as its factorization.

122312332349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 35.

The spelling of 122312332349 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred thirty-two thousand, three hundred forty-nine".