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113100200 = 23522321069
BaseRepresentation
bin1101011110111…
…00010110101000
321212211002022022
412233130112220
5212423201300
615120044012
72542223123
oct657342650
9255732268
10113100200
1158929944
1231a63608
131a57c4c5
14110413ba
159de1285
hex6bdc5a8

113100200 has 72 divisors (see below), whose sum is σ = 275145150. Its totient is φ = 43232640.

The previous prime is 113100193. The next prime is 113100241. The reversal of 113100200 is 2001311.

It can be written as a sum of positive squares in 3 ways, for example, as 82119844 + 30980356 = 9062^2 + 5566^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105266 + ... + 106334.

Almost surely, 2113100200 is an apocalyptic number.

113100200 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 113100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137572575).

113100200 is an abundant number, since it is smaller than the sum of its proper divisors (162044950).

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

113100200 is a wasteful number, since it uses less digits than its factorization.

113100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 113100200 is about 10634.8577799611. The cubic root of 113100200 is about 483.6016689402.

Adding to 113100200 its reverse (2001311), we get a palindrome (115101511).

The spelling of 113100200 in words is "one hundred thirteen million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 529 575 920 1058 1069 1150 2116 2138 2300 2645 4232 4276 4600 5290 5345 8552 10580 10690 13225 21160 21380 24587 26450 26725 42760 49174 52900 53450 98348 105800 106900 122935 196696 213800 245870 491740 565501 614675 983480 1131002 1229350 2262004 2458700 2827505 4524008 4917400 5655010 11310020 14137525 22620040 28275050 56550100 113100200