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113330144 = 2529971259
BaseRepresentation
bin1101100000101…
…00011111100000
321220020202201202
412300110133200
5213003031034
615125020332
72544201404
oct660243740
9256222652
10113330144
1158a76684
1231b546a8
131a630075
14110a1104
159e3947e
hex6c147e0

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".

Divisors: 1 2 4 8 16 29 32 58 97 116 194 232 388 464 776 928 1259 1552 2518 2813 3104 5036 5626 10072 11252 20144 22504 36511 40288 45008 73022 90016 122123 146044 244246 292088 488492 584176 976984 1168352 1953968 3541567 3907936 7083134 14166268 28332536 56665072 113330144