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113314520 = 235111715149
BaseRepresentation
bin1101100000100…
…00101011011000
321220012222022002
412300100223120
5213002031040
615124420132
72544105014
oct660205330
9256188262
10113314520
1158a65970
1231b47648
131a625c17
1411099544
159e34a15
hex6c10ad8

113314520 has 64 divisors (see below), whose sum is σ = 294516000. Its totient is φ = 38778880.

The previous prime is 113314511. The next prime is 113314549. The reversal of 113314520 is 25413311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113314492 and 113314501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95 + ... + 15054.

Almost surely, 2113314520 is an apocalyptic number.

113314520 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 113314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147258000).

113314520 is an abundant number, since it is smaller than the sum of its proper divisors (181201480).

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

113314520 is a wasteful number, since it uses less digits than its factorization.

113314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15188 (or 15184 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 113314520 is about 10644.9293093003. The cubic root of 113314520 is about 483.9069442937.

Adding to 113314520 its reverse (25413311), we get a palindrome (138727831).

It can be divided in two parts, 11331 and 4520, that added together give a palindrome (15851).

The spelling of 113314520 in words is "one hundred thirteen million, three hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 15149 30298 60596 75745 121192 151490 166639 257533 302980 333278 515066 605960 666556 833195 1030132 1287665 1333112 1666390 2060264 2575330 2832863 3332780 5150660 5665726 6665560 10301320 11331452 14164315 22662904 28328630 56657260 113314520