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13135729 is a prime number
BaseRepresentation
bin110010000110…
…111101110001
3220201100211111
4302012331301
511330320404
61145313321
7216436405
oct62067561
926640744
1013135729
117462082
124495841
13294bc29
141a5d105
151247104
hexc86f71

13135729 has 2 divisors, whose sum is σ = 13135730. Its totient is φ = 13135728.

The previous prime is 13135721. The next prime is 13135739. The reversal of 13135729 is 92753131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13104400 + 31329 = 3620^2 + 177^2 .

It is an emirp because it is prime and its reverse (92753131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13135729 - 23 = 13135721 is a prime.

It is a super-2 number, since 2×131357292 = 345094752722882, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13135729.

It is not a weakly prime, because it can be changed into another prime (13135721) 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, 6567864 + 6567865.

It is an arithmetic number, because the mean of its divisors is an integer number (6567865).

Almost surely, 213135729 is an apocalyptic number.

It is an amenable number.

13135729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135729 is an equidigital number, since it uses as much as digits as its factorization.

13135729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 31.

The square root of 13135729 is about 3624.3246267408. The cubic root of 13135729 is about 235.9489559720.

The spelling of 13135729 in words is "thirteen million, one hundred thirty-five thousand, seven hundred twenty-nine".