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122103101993 is a prime number
BaseRepresentation
bin111000110110111101…
…0010111101000101001
3102200011120112021001212
41301231322113220221
54000031343230433
6132032101122505
711551554146045
oct1615572275051
9380146467055
10122103101993
1147869021844
121b7b80b9435
13b68bb20112
145ca479d025
153299931d48
hex1c6de97a29

122103101993 has 2 divisors, whose sum is σ = 122103101994. Its totient is φ = 122103101992.

The previous prime is 122103101951. The next prime is 122103102001. The reversal of 122103101993 is 399101301221.

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., 110923634704 + 11179467289 = 333052^2 + 105733^2 .

It is a cyclic number.

It is not a de Polignac number, because 122103101993 - 224 = 122086324777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122103101093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051550996 + 61051550997.

It is an arithmetic number, because the mean of its divisors is an integer number (61051550997).

Almost surely, 2122103101993 is an apocalyptic number.

It is an amenable number.

122103101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103101993 is an equidigital number, since it uses as much as digits as its factorization.

122103101993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 122103101993 in words is "one hundred twenty-two billion, one hundred three million, one hundred one thousand, nine hundred ninety-three".