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135000293 is a prime number
BaseRepresentation
bin10000000101111…
…11000011100101
3100102000201120212
420002333003211
5234030002133
621221305205
73226324601
oct1002770345
9312021525
10135000293
116a22779a
1239265205
1321c7973c
1413d02501
15bcba148
hex80bf0e5

135000293 has 2 divisors, whose sum is σ = 135000294. Its totient is φ = 135000292.

The previous prime is 135000277. The next prime is 135000311. The reversal of 135000293 is 392000531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71351809 + 63648484 = 8447^2 + 7978^2 .

It is a cyclic number.

It is not a de Polignac number, because 135000293 - 24 = 135000277 is a prime.

It is a super-2 number, since 2×1350002932 = 36450158220171698, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135000233) 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, 67500146 + 67500147.

It is an arithmetic number, because the mean of its divisors is an integer number (67500147).

Almost surely, 2135000293 is an apocalyptic number.

It is an amenable number.

135000293 is a deficient number, since it is larger than the sum of its proper divisors (1).

135000293 is an equidigital number, since it uses as much as digits as its factorization.

135000293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 135000293 is about 11618.9626473279. The cubic root of 135000293 is about 512.9931551309.

The spelling of 135000293 in words is "one hundred thirty-five million, two hundred ninety-three", and thus it is an aban number.