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135013113 = 3241935803
BaseRepresentation
bin10000000110000…
…10001011111001
3100102001101011200
420003002023321
5234030404423
621221444413
73226410144
oct1003021371
9312041150
10135013113
116a236394
1239270709
1321c82521
1413d0705b
15bcbdd43
hex80c22f9

135013113 has 12 divisors (see below), whose sum is σ = 195489840. Its totient is φ = 89791416.

The previous prime is 135013097. The next prime is 135013127. The reversal of 135013113 is 311310531.

135013113 is a `hidden beast` number, since 1 + 350 + 1 + 311 + 3 = 666.

It is not a de Polignac number, because 135013113 - 24 = 135013097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135013213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14131 + ... + 21672.

It is an arithmetic number, because the mean of its divisors is an integer number (16290820).

Almost surely, 2135013113 is an apocalyptic number.

It is an amenable number.

135013113 is a deficient number, since it is larger than the sum of its proper divisors (60476727).

135013113 is a wasteful number, since it uses less digits than its factorization.

135013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36228 (or 36225 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 135013113 is about 11619.5143185935. The cubic root of 135013113 is about 513.0093930316.

Adding to 135013113 its reverse (311310531), we get a palindrome (446323644).

The spelling of 135013113 in words is "one hundred thirty-five million, thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 419 1257 3771 35803 107409 322227 15001457 45004371 135013113