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13205555917 is a prime number
BaseRepresentation
bin11000100110001110…
…01100101011001101
31021002022120202011121
430103013030223031
5204021110242132
610022212520541
7645150242011
oct142307145315
937068522147
1013205555917
115667212684
122686620151
131325b52b18
148d3b96541
15524507497
hex3131ccacd

13205555917 has 2 divisors, whose sum is σ = 13205555918. Its totient is φ = 13205555916.

The previous prime is 13205555873. The next prime is 13205555939. The reversal of 13205555917 is 71955550231.

13205555917 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., 9939890601 + 3265665316 = 99699^2 + 57146^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13205555917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13205555017) 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, 6602777958 + 6602777959.

It is an arithmetic number, because the mean of its divisors is an integer number (6602777959).

Almost surely, 213205555917 is an apocalyptic number.

It is an amenable number.

13205555917 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205555917 is an equidigital number, since it uses as much as digits as its factorization.

13205555917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 236250, while the sum is 43.

The spelling of 13205555917 in words is "thirteen billion, two hundred five million, five hundred fifty-five thousand, nine hundred seventeen".