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122321013193 is a prime number
BaseRepresentation
bin111000111101011100…
…1101000100111001001
3102200201202120022001001
41301322321220213021
54001003134410233
6132105443455001
711560141312501
oct1617271504711
9380652508031
10122321013193
1147970028745
121b859087461
13b6c5008b62
145cc56c4a01
1532adb2827d
hex1c7ae689c9

122321013193 has 2 divisors, whose sum is σ = 122321013194. Its totient is φ = 122321013192.

The previous prime is 122321013151. The next prime is 122321013239. The reversal of 122321013193 is 391310123221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113550128784 + 8770884409 = 336972^2 + 93653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122321013193 is a prime.

It is not a weakly prime, because it can be changed into another prime (122321013103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61160506596 + 61160506597.

It is an arithmetic number, because the mean of its divisors is an integer number (61160506597).

Almost surely, 2122321013193 is an apocalyptic number.

It is an amenable number.

122321013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122321013193 is an equidigital number, since it uses as much as digits as its factorization.

122321013193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 122321013193 in words is "one hundred twenty-two billion, three hundred twenty-one million, thirteen thousand, one hundred ninety-three".