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122311112309 is a prime number
BaseRepresentation
bin111000111101001001…
…1110111011001110101
3102200201001221021120122
41301322103313121311
54000443121043214
6132104451341325
711556661205111
oct1617223673165
9380631837518
10122311112309
1147965485aa1
121b8558b1845
13b6c2c50449
145cc4268741
1532acd1e88e
hex1c7a4f7675

122311112309 has 2 divisors, whose sum is σ = 122311112310. Its totient is φ = 122311112308.

The previous prime is 122311112299. The next prime is 122311112393. The reversal of 122311112309 is 903211113221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74581971409 + 47729140900 = 273097^2 + 218470^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122311112309 is a prime.

It is a super-2 number, since 2×1223111123092 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122311112909) 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, 61155556154 + 61155556155.

It is an arithmetic number, because the mean of its divisors is an integer number (61155556155).

Almost surely, 2122311112309 is an apocalyptic number.

It is an amenable number.

122311112309 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311112309 is an equidigital number, since it uses as much as digits as its factorization.

122311112309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 122311112309 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred twelve thousand, three hundred nine".