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12165379169 is a prime number
BaseRepresentation
bin10110101010001110…
…01111010001100001
31011101211022021220212
423111013033101201
5144403314113134
65331054143505
7610320005516
oct132507172141
934354267825
1012165379169
115183048479
1224361b1b95
1311bb4b9818
1483598b30d
154b303bbce
hex2d51cf461

12165379169 has 2 divisors, whose sum is σ = 12165379170. Its totient is φ = 12165379168.

The previous prime is 12165379133. The next prime is 12165379181. The reversal of 12165379169 is 96197356121.

12165379169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6391203025 + 5774176144 = 79945^2 + 75988^2 .

It is a cyclic number.

It is not a de Polignac number, because 12165379169 - 232 = 7870411873 is a prime.

It is a super-2 number, since 2×121653791692 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12165370169) 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, 6082689584 + 6082689585.

It is an arithmetic number, because the mean of its divisors is an integer number (6082689585).

Almost surely, 212165379169 is an apocalyptic number.

It is an amenable number.

12165379169 is a deficient number, since it is larger than the sum of its proper divisors (1).

12165379169 is an equidigital number, since it uses as much as digits as its factorization.

12165379169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 612360, while the sum is 50.

The spelling of 12165379169 in words is "twelve billion, one hundred sixty-five million, three hundred seventy-nine thousand, one hundred sixty-nine".