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112118320 = 2453153853
BaseRepresentation
bin1101010111011…
…00101000110000
321210222012102101
412223230220300
5212200241240
615043030144
72530663366
oct653545060
9253865371
10112118320
1158319176
123166b354
131a2c7602
1410c67636
159c9a39a
hex6aeca30

112118320 has 80 divisors (see below), whose sum is σ = 274482432. Its totient is φ = 42531840.

The previous prime is 112118273. The next prime is 112118333. The reversal of 112118320 is 23811211.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131014 + ... + 131866.

Almost surely, 2112118320 is an apocalyptic number.

112118320 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 112118320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137241216).

112118320 is an abundant number, since it is smaller than the sum of its proper divisors (162364112).

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

112118320 is a wasteful number, since it uses less digits than its factorization.

112118320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 112118320 is about 10588.5938632096. The cubic root of 112118320 is about 482.1981359730.

Adding to 112118320 its reverse (23811211), we get a palindrome (135929531).

The spelling of 112118320 in words is "one hundred twelve million, one hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 124 155 212 248 265 310 424 496 530 620 848 853 1060 1240 1643 1706 2120 2480 3286 3412 4240 4265 6572 6824 8215 8530 13144 13648 16430 17060 26288 26443 32860 34120 45209 52886 65720 68240 90418 105772 131440 132215 180836 211544 226045 264430 361672 423088 452090 528860 723344 904180 1057720 1401479 1808360 2115440 2802958 3616720 5605916 7007395 11211832 14014790 22423664 28029580 56059160 112118320