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113058300 = 223521971913
BaseRepresentation
bin1101011110100…
…10000111111100
321212201221211110
412233102013330
5212420331200
615115122020
72541660015
oct657220774
9255657743
10113058300
1158900413
1231a43310
131a566404
141103000c
159dd3b50
hex6bd21fc

113058300 has 72 divisors (see below), whose sum is σ = 328947696. Its totient is φ = 29980160.

The previous prime is 113058299. The next prime is 113058301. The reversal of 113058300 is 3850311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113058299) and next prime (113058301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113058301) 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, 58144 + ... + 60056.

It is an arithmetic number, because the mean of its divisors is an integer number (4568718).

Almost surely, 2113058300 is an apocalyptic number.

113058300 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 113058300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164473848).

113058300 is an abundant number, since it is smaller than the sum of its proper divisors (215889396).

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

113058300 is a wasteful number, since it uses less digits than its factorization.

113058300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 113058300 is about 10632.8876604618. The cubic root of 113058300 is about 483.5419419233.

The spelling of 113058300 in words is "one hundred thirteen million, fifty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1913 1970 2364 2955 3826 3940 4925 5739 5910 7652 9565 9850 11478 11820 14775 19130 19700 22956 28695 29550 38260 47825 57390 59100 95650 114780 143475 191300 286950 376861 573900 753722 1130583 1507444 1884305 2261166 3768610 4522332 5652915 7537220 9421525 11305830 18843050 22611660 28264575 37686100 56529150 113058300