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13193137 is a prime number
BaseRepresentation
bin110010010100…
…111110110001
3220211021120201
4302110332301
511334140022
61150435201
7220065646
oct62247661
926737521
1013193137
1174a1221
124502b01
13296c0b9
141a75dcd
151259127
hexc94fb1

13193137 has 2 divisors, whose sum is σ = 13193138. Its totient is φ = 13193136.

The previous prime is 13193129. The next prime is 13193143. The reversal of 13193137 is 73139131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10265616 + 2927521 = 3204^2 + 1711^2 .

It is a cyclic number.

It is not a de Polignac number, because 13193137 - 23 = 13193129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13193107) 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, 6596568 + 6596569.

It is an arithmetic number, because the mean of its divisors is an integer number (6596569).

Almost surely, 213193137 is an apocalyptic number.

It is an amenable number.

13193137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13193137 is an equidigital number, since it uses as much as digits as its factorization.

13193137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 28.

The square root of 13193137 is about 3632.2358128293. The cubic root of 13193137 is about 236.2921845483.

The spelling of 13193137 in words is "thirteen million, one hundred ninety-three thousand, one hundred thirty-seven".