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122400323993 is a prime number
BaseRepresentation
bin111000111111110100…
…0001011100110011001
3102200221021210201000002
41301333220023212121
54001133440331433
6132121355422345
711562123405353
oct1617750134631
9380837721002
10122400323993
1147a00879062
121b87b7549b5
13b70858761c
145cd204c0d3
1532b5a929e8
hex1c7fa0b999

122400323993 has 2 divisors, whose sum is σ = 122400323994. Its totient is φ = 122400323992.

The previous prime is 122400323987. The next prime is 122400324043. The reversal of 122400323993 is 399323004221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120900853264 + 1499470729 = 347708^2 + 38723^2 .

It is an emirp because it is prime and its reverse (399323004221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122400323993 - 24 = 122400323977 is a prime.

It is not a weakly prime, because it can be changed into another prime (122400323963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200161996 + 61200161997.

It is an arithmetic number, because the mean of its divisors is an integer number (61200161997).

Almost surely, 2122400323993 is an apocalyptic number.

It is an amenable number.

122400323993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400323993 is an equidigital number, since it uses as much as digits as its factorization.

122400323993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 122400323993 in words is "one hundred twenty-two billion, four hundred million, three hundred twenty-three thousand, nine hundred ninety-three".