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113310132 = 223133767293
BaseRepresentation
bin1101100000011…
…11100110110100
321220012202021120
412300033212310
5213001411012
615124343540
72544056145
oct660174664
9256182246
10113310132
1158a62641
1231b44bb0
131a623c20
1411097acc
159e3358c
hex6c0f9b4

113310132 has 96 divisors (see below), whose sum is σ = 297800832. Its totient is φ = 33302016.

The previous prime is 113310073. The next prime is 113310133. The reversal of 113310132 is 231013311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113310133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386578 + ... + 386870.

It is an arithmetic number, because the mean of its divisors is an integer number (3102092).

Almost surely, 2113310132 is an apocalyptic number.

113310132 is a gapful number since it is divisible by the number (12) 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 113310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148900416).

113310132 is an abundant number, since it is smaller than the sum of its proper divisors (184490700).

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

113310132 is a wasteful number, since it uses less digits than its factorization.

113310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113310132 is about 10644.7231997831. The cubic root of 113310132 is about 483.9006979301.

Adding to 113310132 its reverse (231013311), we get a palindrome (344323443).

The spelling of 113310132 in words is "one hundred thirteen million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 67 74 78 111 134 148 156 201 222 268 293 402 444 481 586 804 871 879 962 1172 1443 1742 1758 1924 2479 2613 2886 3484 3516 3809 4958 5226 5772 7437 7618 9916 10452 10841 11427 14874 15236 19631 21682 22854 29748 32227 32523 39262 43364 45708 58893 64454 65046 78524 96681 117786 128908 130092 140933 193362 235572 255203 281866 386724 422799 510406 563732 726347 765609 845598 1020812 1452694 1531218 1691196 2179041 2905388 3062436 4358082 8716164 9442511 18885022 28327533 37770044 56655066 113310132