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113115515535 = 325111713442129
BaseRepresentation
bin110100101011000110…
…1011100101010001111
3101210222012210120020100
41221112031130222033
53323130032444120
6123544202022143
711113052006061
oct1512615345217
9353865716210
10113115515535
1143a7683a040
1219b0a1a7953
13a888ac8119
145690c99731
152e208a8490
hex1a5635ca8f

113115515535 has 48 divisors (see below), whose sum is σ = 226473006240. Its totient is φ = 51617771520.

The previous prime is 113115515519. The next prime is 113115515573. The reversal of 113115515535 is 535515511311.

113115515535 is a `hidden beast` number, since 1 + 1 + 3 + 115 + 5 + 1 + 5 + 535 = 666.

It is not a de Polignac number, because 113115515535 - 24 = 113115515519 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113115515535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6712650 + ... + 6729479.

It is an arithmetic number, because the mean of its divisors is an integer number (4718187630).

Almost surely, 2113115515535 is an apocalyptic number.

113115515535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113115515535 is an abundant number, since it is smaller than the sum of its proper divisors (113357490705).

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

113115515535 is a wasteful number, since it uses less digits than its factorization.

113115515535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13442168 (or 13442165 counting only the distinct ones).

The product of its digits is 28125, while the sum is 36.

The spelling of 113115515535 in words is "one hundred thirteen billion, one hundred fifteen million, five hundred fifteen thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 13442129 40326387 67210645 120979161 147863419 201631935 228516193 443590257 604895805 685548579 739317095 1142580965 1330770771 2056645737 2217951285 2513678123 3427742895 6653853855 7541034369 10283228685 12568390615 22623103107 37705171845 113115515535