Base | Representation |
---|---|
bin | 1101100000101… |
… | …00011111100000 |
3 | 21220020202201202 |
4 | 12300110133200 |
5 | 213003031034 |
6 | 15125020332 |
7 | 2544201404 |
oct | 660243740 |
9 | 256222652 |
10 | 113330144 |
11 | 58a76684 |
12 | 31b546a8 |
13 | 1a630075 |
14 | 110a1104 |
15 | 9e3947e |
hex | 6c147e0 |
113330144 has 48 divisors (see below), whose sum is σ = 233377200. Its totient is φ = 54104064.
The previous prime is 113330137. The next prime is 113330153. The reversal of 113330144 is 441033311.
113330144 is nontrivially palindromic in base 9.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89387 + ... + 90645.
It is an arithmetic number, because the mean of its divisors is an integer number (4862025).
Almost surely, 2113330144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 113330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116688600).
113330144 is an abundant number, since it is smaller than the sum of its proper divisors (120047056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113330144 is a wasteful number, since it uses less digits than its factorization.
113330144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
The square root of 113330144 is about 10645.6631545433. The cubic root of 113330144 is about 483.9291839109.
Adding to 113330144 its reverse (441033311), we get a palindrome (554363455).
The spelling of 113330144 in words is "one hundred thirteen million, three hundred thirty thousand, one hundred forty-four".
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