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132111 = 347233
BaseRepresentation
bin100000010000001111
320201020000
4200100033
513211421
62455343
71060110
oct402017
9221200
10132111
1190291
1264553
1348195
1436207
1529226
hex2040f

132111 has 20 divisors (see below), whose sum is σ = 226512. Its totient is φ = 75168.

The previous prime is 132109. The next prime is 132113. The reversal of 132111 is 111231.

It is an interprime number because it is at equal distance from previous prime (132109) and next prime (132113).

It is not a de Polignac number, because 132111 - 21 = 132109 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 132093 and 132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 451 + ... + 683.

2132111 is an apocalyptic number.

132111 is a deficient number, since it is larger than the sum of its proper divisors (94401).

132111 is an equidigital number, since it uses as much as digits as its factorization.

132111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

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

The square root of 132111 is about 363.4707691136. The cubic root of 132111 is about 50.9307017286.

Adding to 132111 its reverse (111231), we get a palindrome (243342).

It can be divided in two parts, 132 and 111, that added together give a 5-th power (243 = 35).

The spelling of 132111 in words is "one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 7 9 21 27 63 81 189 233 567 699 1631 2097 4893 6291 14679 18873 44037 132111