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13593222107137 is a prime number
BaseRepresentation
bin1100010111001110101100…
…1011001101000000000001
31210010111111000112221200201
43011303223023031000001
53240202404324412022
644524350125045201
72602035500331001
oct305635313150001
953114430487621
1013593222107137
114370942561042
12163655a6b6801
13777ab233751a
1434dcb6048001
151888ce460127
hexc5ceb2cd001

13593222107137 has 2 divisors, whose sum is σ = 13593222107138. Its totient is φ = 13593222107136.

The previous prime is 13593222107119. The next prime is 13593222107209. The reversal of 13593222107137 is 73170122239531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13043250063936 + 549972043201 = 3611544^2 + 741601^2 .

It is an emirp because it is prime and its reverse (73170122239531) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13593222107137 is a prime.

It is not a weakly prime, because it can be changed into another prime (13593222137137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6796611053568 + 6796611053569.

It is an arithmetic number, because the mean of its divisors is an integer number (6796611053569).

Almost surely, 213593222107137 is an apocalyptic number.

It is an amenable number.

13593222107137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13593222107137 is an equidigital number, since it uses as much as digits as its factorization.

13593222107137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 13593222107137 in words is "thirteen trillion, five hundred ninety-three billion, two hundred twenty-two million, one hundred seven thousand, one hundred thirty-seven".