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12161627713 is a prime number
BaseRepresentation
bin10110101001110001…
…11011011001000001
31011101120020200220001
423110320323121001
5144401334041323
65330441520001
7610243062364
oct132470733101
934346220801
1012161627713
115180a159a4
122434aa3001
1311ba7a5121
148352920db
154b2a4a3ad
hex2d4e3b641

12161627713 has 2 divisors, whose sum is σ = 12161627714. Its totient is φ = 12161627712.

The previous prime is 12161627707. The next prime is 12161627759. The reversal of 12161627713 is 31772616121.

12161627713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8482962609 + 3678665104 = 92103^2 + 60652^2 .

It is a cyclic number.

It is not a de Polignac number, because 12161627713 - 29 = 12161627201 is a prime.

It is a super-2 number, since 2×121616277132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12161627783) 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, 6080813856 + 6080813857.

It is an arithmetic number, because the mean of its divisors is an integer number (6080813857).

Almost surely, 212161627713 is an apocalyptic number.

It is an amenable number.

12161627713 is a deficient number, since it is larger than the sum of its proper divisors (1).

12161627713 is an equidigital number, since it uses as much as digits as its factorization.

12161627713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 37.

The spelling of 12161627713 in words is "twelve billion, one hundred sixty-one million, six hundred twenty-seven thousand, seven hundred thirteen".