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122103024193 is a prime number
BaseRepresentation
bin111000110110111101…
…0000100101001000001
3102200011120101022100101
41301231322010221001
54000031333233233
6132032055322401
711551553403163
oct1615572045101
9380146338311
10122103024193
1147868a79347
121b7b8080401
13b68bac3897
145ca477c933
153299918c7d
hex1c6de84a41

122103024193 has 2 divisors, whose sum is σ = 122103024194. Its totient is φ = 122103024192.

The previous prime is 122103024167. The next prime is 122103024217. The reversal of 122103024193 is 391420301221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119348139024 + 2754885169 = 345468^2 + 52487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122103024193 is a prime.

It is not a weakly prime, because it can be changed into another prime (122103024293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051512096 + 61051512097.

It is an arithmetic number, because the mean of its divisors is an integer number (61051512097).

Almost surely, 2122103024193 is an apocalyptic number.

It is an amenable number.

122103024193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103024193 is an equidigital number, since it uses as much as digits as its factorization.

122103024193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 122103024193 in words is "one hundred twenty-two billion, one hundred three million, twenty-four thousand, one hundred ninety-three".