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113130324 = 22339710799
BaseRepresentation
bin1101011111000…
…11101101010100
321212212121122000
412233203231110
5212430132244
615120435300
72542410006
oct657435524
9255777560
10113130324
115894a53a
1231a78b30
131a590128
141104c376
159dea169
hex6be3b54

113130324 has 48 divisors (see below), whose sum is σ = 296352000. Its totient is φ = 37317888.

The previous prime is 113130323. The next prime is 113130331. The reversal of 113130324 is 423031311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113130297 and 113130306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5077 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2113130324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113130324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000).

113130324 is an abundant number, since it is smaller than the sum of its proper divisors (183221676).

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

113130324 is a wasteful number, since it uses less digits than its factorization.

113130324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113130324 is about 10636.2739716500. The cubic root of 113130324 is about 483.6446005575.

Adding to 113130324 its reverse (423031311), we get a palindrome (536161635).

The spelling of 113130324 in words is "one hundred thirteen million, one hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 10476 10799 21598 32397 43196 64794 97191 129588 194382 291573 388764 583146 1047503 1166292 2095006 3142509 4190012 6285018 9427527 12570036 18855054 28282581 37710108 56565162 113130324