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113135 = 511317
BaseRepresentation
bin11011100111101111
312202012012
4123213233
512110020
62231435
7650561
oct334757
9182165
10113135
1178000
125557b
133c659
142d331
15237c5
hex1b9ef

113135 has 16 divisors (see below), whose sum is σ = 158112. Its totient is φ = 77440.

The previous prime is 113131. The next prime is 113143. The reversal of 113135 is 531311.

It is not a de Polignac number, because 113135 - 22 = 113131 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6647 + ... + 6663.

It is an arithmetic number, because the mean of its divisors is an integer number (9882).

2113135 is an apocalyptic number.

113135 is a deficient number, since it is larger than the sum of its proper divisors (44977).

113135 is an equidigital number, since it uses as much as digits as its factorization.

113135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its digits is 45, while the sum is 14.

The square root of 113135 is about 336.3554667313. The cubic root of 113135 is about 48.3651263937.

Adding to 113135 its reverse (531311), we get a palindrome (644446).

It can be divided in two parts, 11313 and 5, that multiplied together give a palindrome (56565).

The spelling of 113135 in words is "one hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 5 11 17 55 85 121 187 605 935 1331 2057 6655 10285 22627 113135