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11185031252917 is a prime number
BaseRepresentation
bin1010001011000011011111…
…0100001000101110110101
31110121021112001121020001201
42202300313310020232311
52431223421000043132
635442155445252501
72233043333655304
oct242606764105665
943537461536051
1011185031252917
1136225aa604955
121307898404131
1363198951a522
142a950364a43b
15145e3593e2e7
hexa2c37d08bb5

11185031252917 has 2 divisors, whose sum is σ = 11185031252918. Its totient is φ = 11185031252916.

The previous prime is 11185031252897. The next prime is 11185031252929. The reversal of 11185031252917 is 71925213058111.

11185031252917 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., 8483902845796 + 2701128407121 = 2912714^2 + 1643511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11185031252917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11185031252947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5592515626458 + 5592515626459.

It is an arithmetic number, because the mean of its divisors is an integer number (5592515626459).

Almost surely, 211185031252917 is an apocalyptic number.

It is an amenable number.

11185031252917 is a deficient number, since it is larger than the sum of its proper divisors (1).

11185031252917 is an equidigital number, since it uses as much as digits as its factorization.

11185031252917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 46.

The spelling of 11185031252917 in words is "eleven trillion, one hundred eighty-five billion, thirty-one million, two hundred fifty-two thousand, nine hundred seventeen".