| Base | Representation |
|---|---|
| bin | 1101100010001… |
| … | …01100011011100 |
| 3 | 21220121222101120 |
| 4 | 12301011203130 |
| 5 | 213030443400 |
| 6 | 15133210540 |
| 7 | 2545666314 |
| oct | 661054334 |
| 9 | 256558346 |
| 10 | 113531100 |
| 11 | 590a3661 |
| 12 | 32030a50 |
| 13 | 1a6a0687 |
| 14 | 11114444 |
| 15 | 9e78ca0 |
| hex | 6c458dc |
113531100 has 144 divisors (see below), whose sum is σ = 352664928. Its totient is φ = 28098560.
The previous prime is 113531087. The next prime is 113531123. The reversal of 113531100 is 1135311.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a plaindrome in base 14.
It is a zygodrome in base 14.
It is a self number, because there is not a number n which added to its sum of digits gives 113531100.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576202 + ... + 576398.
It is an arithmetic number, because the mean of its divisors is an integer number (2449062).
Almost surely, 2113531100 is an apocalyptic number.
113531100 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 113531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464).
113531100 is an abundant number, since it is smaller than the sum of its proper divisors (239133828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113531100 is a wasteful number, since it uses less digits than its factorization.
113531100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344 (or 337 counting only the distinct ones).
The product of its (nonzero) digits is 45, while the sum is 15.
The square root of 113531100 is about 10655.0973716808. The cubic root of 113531100 is about 484.2150479837.
Adding to 113531100 its reverse (1135311), we get a palindrome (114666411).
Multiplying 113531100 by its reverse (1135311), we get a square (128893106672100 = 113531102).
113531100 divided by its reverse (1135311) gives a square (100 = 102).
The spelling of 113531100 in words is "one hundred thirteen million, five hundred thirty-one thousand, one hundred".
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