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113135111505 = 33513208930859
BaseRepresentation
bin110100101011101100…
…0001100110101010001
3101211000120200010212000
41221113120030311101
53323200042032010
6123550142024213
711113410403143
oct1512730146521
9354016603760
10113135111505
1143a86903859
1219b14878069
13a88cb99680
14569371ac93
152e224797c0
hex1a5760cd51

113135111505 has 64 divisors (see below), whose sum is σ = 216711264000. Its totient is φ = 55668819456.

The previous prime is 113135111473. The next prime is 113135111513. The reversal of 113135111505 is 505111531311.

113135111505 is a `hidden beast` number, since 1 + 13 + 1 + 35 + 111 + 505 = 666.

It is not a de Polignac number, because 113135111505 - 25 = 113135111473 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3650766 + ... + 3681624.

It is an arithmetic number, because the mean of its divisors is an integer number (3386113500).

Almost surely, 2113135111505 is an apocalyptic number.

113135111505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113135111505 is a deficient number, since it is larger than the sum of its proper divisors (103576152495).

113135111505 is a wasteful number, since it uses less digits than its factorization.

113135111505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32975 (or 32969 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

Adding to 113135111505 its reverse (505111531311), we get a palindrome (618246642816).

The spelling of 113135111505 in words is "one hundred thirteen billion, one hundred thirty-five million, one hundred eleven thousand, five hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 2089 6267 10445 18801 27157 30859 31335 56403 81471 92577 94005 135785 154295 244413 277731 282015 401167 407355 462885 733239 833193 1203501 1222065 1388655 2005835 3610503 3666195 4165965 6017505 10831509 18052515 54157545 64464451 193393353 322322255 580180059 838037863 966966765 1740540177 2514113589 2900900295 4190189315 7542340767 8702700885 12570567945 22627022301 37711703835 113135111505