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135313335 = 36537123
BaseRepresentation
bin10000001000010…
…11011110110111
3100102121122000000
420010023132313
5234120011320
621232122343
73232100343
oct1004133667
9312548000
10135313335
116a420a03
12393963b3
1322059081
1413d84623
15bd2cc90
hex810b7b7

135313335 has 28 divisors (see below), whose sum is σ = 243459192. Its totient is φ = 72165168.

The previous prime is 135313313. The next prime is 135313349. The reversal of 135313335 is 533313531.

It is a happy number.

135313335 is a `hidden beast` number, since 13 + 5 + 313 + 335 = 666.

135313335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135313335 - 26 = 135313271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 135313299 and 135313308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14917 + ... + 22206.

Almost surely, 2135313335 is an apocalyptic number.

135313335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135313335 is a deficient number, since it is larger than the sum of its proper divisors (108145857).

135313335 is an frugal number, since it uses more digits than its factorization.

135313335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37146 (or 37131 counting only the distinct ones).

The product of its digits is 6075, while the sum is 27.

The square root of 135313335 is about 11632.4260152386. The cubic root of 135313335 is about 513.3893627585.

Adding to 135313335 its reverse (533313531), we get a palindrome (668626866).

The spelling of 135313335 in words is "one hundred thirty-five million, three hundred thirteen thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 37123 111369 185615 334107 556845 1002321 1670535 3006963 5011605 9020889 15034815 27062667 45104445 135313335