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113125800 = 233521671129
BaseRepresentation
bin1101011111000…
…10100110101000
321212212101102110
412233202212220
5212430011200
615120402320
72542360554
oct657424650
9255771373
10113125800
11589470a7
1231a763a0
131a58b058
141104a864
159de8b50
hex6be29a8

113125800 has 96 divisors (see below), whose sum is σ = 353102400. Its totient is φ = 29959680.

The previous prime is 113125787. The next prime is 113125801. The reversal of 113125800 is 8521311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113125801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99636 + ... + 100764.

It is an arithmetic number, because the mean of its divisors is an integer number (3678150).

Almost surely, 2113125800 is an apocalyptic number.

113125800 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 113125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176551200).

113125800 is an abundant number, since it is smaller than the sum of its proper divisors (239976600).

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

113125800 is a wasteful number, since it uses less digits than its factorization.

113125800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 113125800 is about 10636.0613010644. The cubic root of 113125800 is about 483.6381536054.

The spelling of 113125800 in words is "one hundred thirteen million, one hundred twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1129 1336 1670 2004 2258 2505 3340 3387 4008 4175 4516 5010 5645 6680 6774 8350 9032 10020 11290 12525 13548 16700 16935 20040 22580 25050 27096 28225 33400 33870 45160 50100 56450 67740 84675 100200 112900 135480 169350 188543 225800 338700 377086 565629 677400 754172 942715 1131258 1508344 1885430 2262516 2828145 3770860 4525032 4713575 5656290 7541720 9427150 11312580 14140725 18854300 22625160 28281450 37708600 56562900 113125800