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133112 = 2372377
BaseRepresentation
bin100000011111111000
320202121002
4200133320
513224422
62504132
71063040
oct403770
9222532
10133112
1191011
1265048
1348785
1436720
1529692
hex207f8

133112 has 16 divisors (see below), whose sum is σ = 285360. Its totient is φ = 57024.

The previous prime is 133109. The next prime is 133117. The reversal of 133112 is 211331.

Adding to 133112 its reverse (211331), we get a palindrome (344443).

It can be divided in two parts, 13 and 3112, that added together give a 5-th power (3125 = 55).

133112 is nontrivially palindromic in base 15.

133112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133093 and 133102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133117) 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, 1133 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (17835).

2133112 is an apocalyptic number.

It is an amenable number.

133112 is an abundant number, since it is smaller than the sum of its proper divisors (152248).

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

133112 is a wasteful number, since it uses less digits than its factorization.

133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2386 counting only the distinct ones).

The product of its digits is 18, while the sum is 11.

The square root of 133112 is about 364.8451726418. The cubic root of 133112 is about 51.0590115332.

The spelling of 133112 in words is "one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 2377 4754 9508 16639 19016 33278 66556 133112