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113132140 = 225114311959
BaseRepresentation
bin1101011111001…
…00001001101100
321212212201010021
412233210021230
5212430212030
615120451524
72542415212
oct657441154
9255781107
10113132140
1158950940
1231a79ba4
131a590bc4
141104ccb2
159dea97a
hex6be426c

113132140 has 48 divisors (see below), whose sum is σ = 265224960. Its totient is φ = 40178880.

The previous prime is 113132119. The next prime is 113132141. The reversal of 113132140 is 41231311.

It is a super-2 number, since 2×1131321402 = 25597762201959200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113132141) 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, 3481 + ... + 15439.

It is an arithmetic number, because the mean of its divisors is an integer number (5525520).

Almost surely, 2113132140 is an apocalyptic number.

113132140 is a gapful number since it is divisible by the number (10) 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 113132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132612480).

113132140 is an abundant number, since it is smaller than the sum of its proper divisors (152092820).

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

113132140 is a wasteful number, since it uses less digits than its factorization.

113132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022 (or 12020 counting only the distinct ones).

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

The square root of 113132140 is about 10636.3593395485. The cubic root of 113132140 is about 483.6471884103.

Adding to 113132140 its reverse (41231311), we get a palindrome (154363451).

The spelling of 113132140 in words is "one hundred thirteen million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 11959 23918 47836 59795 119590 131549 239180 263098 514237 526196 657745 1028474 1315490 2056948 2571185 2630980 5142370 5656607 10284740 11313214 22626428 28283035 56566070 113132140