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135130393 is a prime number
BaseRepresentation
bin10000000110111…
…10110100011001
3100102021100001101
420003132310121
5234043133033
621224151401
73230406106
oct1003366431
9312240041
10135130393
116a306512
1239308561
1321cc3a18
1413d37aad
15bce397d
hex80ded19

135130393 has 2 divisors, whose sum is σ = 135130394. Its totient is φ = 135130392.

The previous prime is 135130363. The next prime is 135130397. The reversal of 135130393 is 393031531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95023504 + 40106889 = 9748^2 + 6333^2 .

It is a cyclic number.

It is not a de Polignac number, because 135130393 - 225 = 101575961 is a prime.

It is a super-3 number, since 3×1351303933 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (135130397) 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, 67565196 + 67565197.

It is an arithmetic number, because the mean of its divisors is an integer number (67565197).

Almost surely, 2135130393 is an apocalyptic number.

It is an amenable number.

135130393 is a deficient number, since it is larger than the sum of its proper divisors (1).

135130393 is an equidigital number, since it uses as much as digits as its factorization.

135130393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 28.

The square root of 135130393 is about 11624.5599056480. The cubic root of 135130393 is about 513.1578929997.

The spelling of 135130393 in words is "one hundred thirty-five million, one hundred thirty thousand, three hundred ninety-three".