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113125540 = 225112112437
BaseRepresentation
bin1101011111000…
…10100010100100
321212212101001211
412233202202210
5212430004130
615120401204
72542360033
oct657424244
9255771054
10113125540
1158946990
1231a76204
131a58abb8
141104a71a
159de8a2a
hex6be28a4

113125540 has 48 divisors (see below), whose sum is σ = 260495424. Its totient is φ = 40924800.

The previous prime is 113125513. The next prime is 113125553. The reversal of 113125540 is 45521311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45202 + ... + 47638.

It is an arithmetic number, because the mean of its divisors is an integer number (5426988).

Almost surely, 2113125540 is an apocalyptic number.

113125540 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 113125540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130247712).

113125540 is an abundant number, since it is smaller than the sum of its proper divisors (147369884).

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

113125540 is a wasteful number, since it uses less digits than its factorization.

113125540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 113125540 is about 10636.0490784877. The cubic root of 113125540 is about 483.6377830857.

Adding to 113125540 its reverse (45521311), we get a palindrome (158646851).

The spelling of 113125540 in words is "one hundred thirteen million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 2437 4220 4642 4874 9284 9748 11605 12185 23210 24370 26807 46420 48740 53614 107228 134035 268070 514207 536140 1028414 2056828 2571035 5142070 5656277 10284140 11312554 22625108 28281385 56562770 113125540