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12200107916917 is a prime number
BaseRepresentation
bin1011000110001000111100…
…0110010011111001110101
31121012022121111102112110201
42301202033012103321311
53044341310111320132
641540352513120501
72366300022154054
oct261421706237165
947168544375421
1012200107916917
113984044954638
121450567559131
136a6608194c0b
143026ba15239b
15162545ab02e7
hexb188f193e75

12200107916917 has 2 divisors, whose sum is σ = 12200107916918. Its totient is φ = 12200107916916.

The previous prime is 12200107916879. The next prime is 12200107916989. The reversal of 12200107916917 is 71961970100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9765537500196 + 2434570416721 = 3124986^2 + 1560311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200107916917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200107916317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100053958458 + 6100053958459.

It is an arithmetic number, because the mean of its divisors is an integer number (6100053958459).

Almost surely, 212200107916917 is an apocalyptic number.

It is an amenable number.

12200107916917 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200107916917 is an equidigital number, since it uses as much as digits as its factorization.

12200107916917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 46.

The spelling of 12200107916917 in words is "twelve trillion, two hundred billion, one hundred seven million, nine hundred sixteen thousand, nine hundred seventeen".