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113324112 = 243211292467
BaseRepresentation
bin1101100000100…
…11000001010000
321220020110110100
412300103001100
5213002332422
615124532400
72544144666
oct660230120
9256213410
10113324112
1158a720a0
1231b51100
131a62a3b5
141109cc36
159e377ac
hex6c13050

113324112 has 120 divisors (see below), whose sum is σ = 358057440. Its totient is φ = 33143040.

The previous prime is 113324111. The next prime is 113324117. The reversal of 113324112 is 211423311.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113324111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44703 + ... + 47169.

It is an arithmetic number, because the mean of its divisors is an integer number (2983812).

Almost surely, 2113324112 is an apocalyptic number.

113324112 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 113324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179028720).

113324112 is an abundant number, since it is smaller than the sum of its proper divisors (244733328).

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

113324112 is a wasteful number, since it uses less digits than its factorization.

113324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2512 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 113324112 is about 10645.3798429178. The cubic root of 113324112 is about 483.9205980439.

Adding to 113324112 its reverse (211423311), we get a palindrome (324747423).

The spelling of 113324112 in words is "one hundred thirteen million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1914 2088 2467 2552 2871 3828 4176 4934 5104 5742 7401 7656 9868 11484 14802 15312 19736 22203 22968 27137 29604 39472 44406 45936 54274 59208 71543 81411 88812 108548 118416 143086 162822 177624 214629 217096 244233 286172 325644 355248 429258 434192 488466 572344 643887 651288 786973 858516 976932 1144688 1287774 1302576 1573946 1717032 1953864 2360919 2575548 3147892 3434064 3907728 4721838 5151096 6295784 7082757 9443676 10302192 12591568 14165514 18887352 28331028 37774704 56662056 113324112