111132 has 60 divisors (see below), whose sum is σ = 338800. Its totient is φ = 31752.

The previous prime is 111127. The next prime is 111143. The reversal of 111132 is 231111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15873 + ... + 15879.

111132 is a Friedman number, since it can be written as 21^3*(11+1), using all its digits and the basic arithmetic operations.

2^{111132} is an apocalyptic number.

111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169400).

111132 is an abundant number, since it is smaller than the sum of its proper divisors (227668).

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

111132 is an equidigital number, since it uses as much as digits as its factorization.

111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 12 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 111132 is about 333.3646651941. The cubic root of 111132 is about 48.0779981872.

Adding to 111132 its reverse (231111), we get a palindrome (342243).

It can be divided in two parts, 111 and 132, that added together give a 5-th power (243 = 3^{5}).

The spelling of 111132 in words is "one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 882 1029 1134 1323 1372 1764 2058 2268 2646 3087 3969 4116 5292 6174 7938 9261 12348 15876 18522 27783 37044 55566 111132

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