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13205064337 is a prime number
BaseRepresentation
bin11000100110001010…
…10100101010010001
31021002021122202211221
430103011110222101
5204020444024322
610022154205041
7645143123563
oct142305245221
937067582757
1013205064337
115666a07313
122686423781
131325a1014a
148d3aa9333
1552445b9c7
hex313154a91

13205064337 has 2 divisors, whose sum is σ = 13205064338. Its totient is φ = 13205064336.

The previous prime is 13205064319. The next prime is 13205064349. The reversal of 13205064337 is 73346050231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13197644161 + 7420176 = 114881^2 + 2724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13205064337 is a prime.

It is not a weakly prime, because it can be changed into another prime (13205064137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602532168 + 6602532169.

It is an arithmetic number, because the mean of its divisors is an integer number (6602532169).

Almost surely, 213205064337 is an apocalyptic number.

It is an amenable number.

13205064337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205064337 is an equidigital number, since it uses as much as digits as its factorization.

13205064337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 13205064337 in words is "thirteen billion, two hundred five million, sixty-four thousand, three hundred thirty-seven".