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113322132 = 223371113627
BaseRepresentation
bin1101100000100…
…10100010010100
321220020100202000
412300102202110
5213002302012
615124515300
72544136140
oct660224224
9256210660
10113322132
1158a70660
1231b4bb30
131a629521
141109c220
159e36ddc
hex6c12894

113322132 has 96 divisors (see below), whose sum is σ = 366320640. Its totient is φ = 29432160.

The previous prime is 113322091. The next prime is 113322179. The reversal of 113322132 is 231223311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503 + ... + 15129.

It is an arithmetic number, because the mean of its divisors is an integer number (3815840).

Almost surely, 2113322132 is an apocalyptic number.

113322132 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 113322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183160320).

113322132 is an abundant number, since it is smaller than the sum of its proper divisors (252998508).

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

113322132 is a wasteful number, since it uses less digits than its factorization.

113322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13658 (or 13650 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113322132 is about 10645.2868444209. The cubic root of 113322132 is about 483.9177796723.

Adding to 113322132 its reverse (231223311), we get a palindrome (344545443).

The spelling of 113322132 in words is "one hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 13627 27254 40881 54508 81762 95389 122643 149897 163524 190778 245286 286167 299794 367929 381556 449691 490572 572334 599588 735858 858501 899382 1049279 1144668 1349073 1471716 1717002 1798764 2098558 2575503 2698146 3147837 3434004 4047219 4197116 5151006 5396292 6295674 8094438 9443511 10302012 12591348 16188876 18887022 28330533 37774044 56661066 113322132