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135110120 = 2356155373
BaseRepresentation
bin10000000110110…
…01110111101000
3100102020022020112
420003121313220
5234042010440
621223513452
73230263025
oct1003316750
9312208215
10135110120
116a2a2262
12392b8888
1321cb7722
1413d3054c
15bcdc965
hex80d9de8

135110120 has 32 divisors (see below), whose sum is σ = 308986920. Its totient is φ = 53157120.

The previous prime is 135110081. The next prime is 135110137. The reversal of 135110120 is 21011531.

It can be written as a sum of positive squares in 4 ways, for example, as 86974276 + 48135844 = 9326^2 + 6938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135110095 and 135110104.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 25247 + ... + 30126.

Almost surely, 2135110120 is an apocalyptic number.

135110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135110120 is an abundant number, since it is smaller than the sum of its proper divisors (173876800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135110120 is a wasteful number, since it uses less digits than its factorization.

135110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55445 (or 55441 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 135110120 is about 11623.6878829397. The cubic root of 135110120 is about 513.1322294658.

Adding to 135110120 its reverse (21011531), we get a palindrome (156121651).

The spelling of 135110120 in words is "one hundred thirty-five million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 55373 110746 221492 276865 442984 553730 1107460 2214920 3377753 6755506 13511012 16888765 27022024 33777530 67555060 135110120