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113641 = 1110331
BaseRepresentation
bin11011101111101001
312202212221
4123233221
512114031
62234041
7652213
oct335751
9182787
10113641
1178420
1255921
133c958
142d5b3
1523a11
hex1bbe9

113641 has 4 divisors (see below), whose sum is σ = 123984. Its totient is φ = 103300.

The previous prime is 113623. The next prime is 113647. The reversal of 113641 is 146311.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 113641 - 27 = 113513 is a prime.

It is a Duffinian number.

113641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (113647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5155 + ... + 5176.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2113641 is an apocalyptic number.

113641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113641 is a deficient number, since it is larger than the sum of its proper divisors (10343).

113641 is a wasteful number, since it uses less digits than its factorization.

113641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342.

The product of its digits is 72, while the sum is 16.

The square root of 113641 is about 337.1068080001. The cubic root of 113641 is about 48.4371240345.

Subtracting from 113641 its product of digits (72), we obtain a square (113569 = 3372).

Adding to 113641 its reverse (146311), we get a palindrome (259952).

The spelling of 113641 in words is "one hundred thirteen thousand, six hundred forty-one".

Divisors: 1 11 10331 113641