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113322200 = 23524313177
BaseRepresentation
bin1101100000100…
…10100011011000
321220020100211112
412300102203120
5213002302300
615124515452
72544136265
oct660224330
9256210745
10113322200
1158a70712
1231b4bb88
131a629574
141109c26c
159e36e35
hex6c128d8

113322200 has 48 divisors (see below), whose sum is σ = 269621880. Its totient is φ = 44271360.

The previous prime is 113322197. The next prime is 113322239. The reversal of 113322200 is 2223311.

It is a happy number.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2012 + ... + 15188.

Almost surely, 2113322200 is an apocalyptic number.

113322200 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 113322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134810940).

113322200 is an abundant number, since it is smaller than the sum of its proper divisors (156299680).

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

113322200 is a wasteful number, since it uses less digits than its factorization.

113322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 113322200 is about 10645.2900383221. The cubic root of 113322200 is about 483.9178764654.

Adding to 113322200 its reverse (2223311), we get a palindrome (115545511).

The spelling of 113322200 in words is "one hundred thirteen million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 13177 26354 52708 65885 105416 131770 263540 329425 527080 566611 658850 1133222 1317700 2266444 2635400 2833055 4532888 5666110 11332220 14165275 22664440 28330550 56661100 113322200