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122100209993 is a prime number
BaseRepresentation
bin111000110110110111…
…1010101100101001001
3102200011101002022222202
41301231233111211021
54000030123204433
6132031515125545
711551520442416
oct1615557254511
9380141068882
10122100209993
1147867426a63
121b7b71438b5
13b68b349988
145ca424910d
15329955eee8
hex1c6dbd5949

122100209993 has 2 divisors, whose sum is σ = 122100209994. Its totient is φ = 122100209992.

The previous prime is 122100209989. The next prime is 122100210013. The reversal of 122100209993 is 399902001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111791259904 + 10308950089 = 334352^2 + 101533^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100209993 - 22 = 122100209989 is a prime.

It is a super-2 number, since 2×1221002099932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122100206993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050104996 + 61050104997.

It is an arithmetic number, because the mean of its divisors is an integer number (61050104997).

Almost surely, 2122100209993 is an apocalyptic number.

It is an amenable number.

122100209993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100209993 is an equidigital number, since it uses as much as digits as its factorization.

122100209993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 38.

The spelling of 122100209993 in words is "one hundred twenty-two billion, one hundred million, two hundred nine thousand, nine hundred ninety-three".