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117084414961 is a prime number
BaseRepresentation
bin110110100001011000…
…1100110001111110001
3102012012210222112201101
41231002301212033301
53404242102234321
6125442101204401
711313314051323
oct1550261461761
9365183875641
10117084414961
1145723110a08
121a837400701
13b06c14a917
14594a035613
1530a4038791
hex1b42c663f1

117084414961 has 2 divisors, whose sum is σ = 117084414962. Its totient is φ = 117084414960.

The previous prime is 117084414899. The next prime is 117084414977. The reversal of 117084414961 is 169414480711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109449150561 + 7635264400 = 330831^2 + 87380^2 .

It is a cyclic number.

It is not a de Polignac number, because 117084414961 - 215 = 117084382193 is a prime.

It is not a weakly prime, because it can be changed into another prime (117084414061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58542207480 + 58542207481.

It is an arithmetic number, because the mean of its divisors is an integer number (58542207481).

Almost surely, 2117084414961 is an apocalyptic number.

It is an amenable number.

117084414961 is a deficient number, since it is larger than the sum of its proper divisors (1).

117084414961 is an equidigital number, since it uses as much as digits as its factorization.

117084414961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 117084414961 in words is "one hundred seventeen billion, eighty-four million, four hundred fourteen thousand, nine hundred sixty-one".