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13003098137 is a prime number
BaseRepresentation
bin11000001110000101…
…11000100000011001
31020120012121211022022
430013002320200121
5203112243120022
65550141304225
7640141340051
oct140702704031
936505554268
1013003098137
115572a010a7
12262a865075
1312c2c17c13
148b4d34561
15511864c42
hex3070b8819

13003098137 has 2 divisors, whose sum is σ = 13003098138. Its totient is φ = 13003098136.

The previous prime is 13003098109. The next prime is 13003098167. The reversal of 13003098137 is 73189030031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9952855696 + 3050242441 = 99764^2 + 55229^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003098137 - 222 = 12998903833 is a prime.

It is a super-2 number, since 2×130030981372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13003098097 and 13003098106.

It is not a weakly prime, because it can be changed into another prime (13003098167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501549068 + 6501549069.

It is an arithmetic number, because the mean of its divisors is an integer number (6501549069).

Almost surely, 213003098137 is an apocalyptic number.

It is an amenable number.

13003098137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003098137 is an equidigital number, since it uses as much as digits as its factorization.

13003098137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 13003098137 in words is "thirteen billion, three million, ninety-eight thousand, one hundred thirty-seven".