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113125820 = 225173110733
BaseRepresentation
bin1101011111000…
…10100110111100
321212212101110012
412233202212330
5212430011240
615120402352
72542360613
oct657424674
9255771405
10113125820
1158947115
1231a763b8
131a58b072
141104a87a
159de8b65
hex6be29bc

113125820 has 48 divisors (see below), whose sum is σ = 259676928. Its totient is φ = 41210880.

The previous prime is 113125811. The next prime is 113125841. The reversal of 113125820 is 28521311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5174 + ... + 15906.

It is an arithmetic number, because the mean of its divisors is an integer number (5409936).

Almost surely, 2113125820 is an apocalyptic number.

113125820 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 113125820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129838464).

113125820 is an abundant number, since it is smaller than the sum of its proper divisors (146551108).

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

113125820 is a wasteful number, since it uses less digits than its factorization.

113125820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10790 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 113125820 is about 10636.0622412620. The cubic root of 113125820 is about 483.6381821069.

The spelling of 113125820 in words is "one hundred thirteen million, one hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 10733 21466 42932 53665 107330 182461 214660 332723 364922 665446 729844 912305 1330892 1663615 1824610 3327230 3649220 5656291 6654460 11312582 22625164 28281455 56562910 113125820