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117077207761 is a prime number
BaseRepresentation
bin110110100001001011…
…0000110101011010001
3102012012022102101022001
41231002112012223101
53404233231122021
6125441242514001
711313165563143
oct1550226065321
9365168371261
10117077207761
114571a039048
121a834b05901
13b06a7c62c7
1459490bac93
1530a35b3091
hex1b42586ad1

117077207761 has 2 divisors, whose sum is σ = 117077207762. Its totient is φ = 117077207760.

The previous prime is 117077207749. The next prime is 117077207771. The reversal of 117077207761 is 167702770711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65147457600 + 51929750161 = 255240^2 + 227881^2 .

It is a cyclic number.

It is not a de Polignac number, because 117077207761 - 27 = 117077207633 is a prime.

It is a super-2 number, since 2×1170772077612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (117077207711) 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, 58538603880 + 58538603881.

It is an arithmetic number, because the mean of its divisors is an integer number (58538603881).

Almost surely, 2117077207761 is an apocalyptic number.

It is an amenable number.

117077207761 is a deficient number, since it is larger than the sum of its proper divisors (1).

117077207761 is an equidigital number, since it uses as much as digits as its factorization.

117077207761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201684, while the sum is 46.

The spelling of 117077207761 in words is "one hundred seventeen billion, seventy-seven million, two hundred seven thousand, seven hundred sixty-one".