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2122102418977 is a prime number
BaseRepresentation
bin11110111000010111001…
…010010010111000100001
321111212111222002102010001
4132320113022102320201
5234232031204401402
64302514055340001
7306213450640612
oct36702712227041
97455458072101
102122102418977
11748a84546452
122a333b981601
131251621a5628
14749d3111c09
153a302827187
hex1ee17292e21

2122102418977 has 2 divisors, whose sum is σ = 2122102418978. Its totient is φ = 2122102418976.

The previous prime is 2122102418957. The next prime is 2122102418993. The reversal of 2122102418977 is 7798142012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1096761885696 + 1025340533281 = 1047264^2 + 1012591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122102418977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122102418927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051209488 + 1061051209489.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051209489).

Almost surely, 22122102418977 is an apocalyptic number.

It is an amenable number.

2122102418977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102418977 is an equidigital number, since it uses as much as digits as its factorization.

2122102418977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 2122102418977 in words is "two trillion, one hundred twenty-two billion, one hundred two million, four hundred eighteen thousand, nine hundred seventy-seven".