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113104400 = 24521716633
BaseRepresentation
bin1101011110111…
…01011000010000
321212211022001212
412233131120100
5212423320100
615120115252
72542241303
oct657353020
9255738055
10113104400
1158932012
1231a65b28
131a5813a6
1411042b3a
159de2635
hex6bdd610

113104400 has 60 divisors (see below), whose sum is σ = 287734932. Its totient is φ = 42577920.

The previous prime is 113104393. The next prime is 113104421. The reversal of 113104400 is 4401311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4194304 + 108910096 = 2048^2 + 10436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1517 + ... + 15116.

Almost surely, 2113104400 is an apocalyptic number.

113104400 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 113104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143867466).

113104400 is an abundant number, since it is smaller than the sum of its proper divisors (174630532).

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

113104400 is a wasteful number, since it uses less digits than its factorization.

113104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16668 (or 16657 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 113104400 is about 10635.0552419816. The cubic root of 113104400 is about 483.6076550831.

Adding to 113104400 its reverse (4401311), we get a palindrome (117505711).

The spelling of 113104400 in words is "one hundred thirteen million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 16633 33266 66532 83165 133064 166330 266128 282761 332660 415825 565522 665320 831650 1131044 1330640 1413805 1663300 2262088 2827610 3326600 4524176 5655220 6653200 7069025 11310440 14138050 22620880 28276100 56552200 113104400