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112333104 = 243213232609
BaseRepresentation
bin1101011001000…
…01000100110000
321211101010001100
412230201010300
5212224124404
615051404400
72532546522
oct654410460
9254333040
10112333104
1158455584
1231753700
131a3712c0
1410cc1a12
159cddd39
hex6b21130

112333104 has 120 divisors (see below), whose sum is σ = 353414880. Its totient is φ = 33048576.

The previous prime is 112333103. The next prime is 112333159. The reversal of 112333104 is 401333211.

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

It is not an unprimeable number, because it can be changed into a prime (112333103) 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, 41752 + ... + 44360.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124).

Almost surely, 2112333104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176707440).

112333104 is an abundant number, since it is smaller than the sum of its proper divisors (241081776).

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

112333104 is a wasteful number, since it uses less digits than its factorization.

112333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2650 counting only the distinct ones).

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

The square root of 112333104 is about 10598.7312448236. The cubic root of 112333104 is about 482.5058536879.

Adding to 112333104 its reverse (401333211), we get a palindrome (513666315).

The spelling of 112333104 in words is "one hundred twelve million, three hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2392 2609 2691 3312 3588 4784 5218 5382 7176 7827 10436 10764 14352 15654 20872 21528 23481 31308 33917 41744 43056 46962 60007 62616 67834 93924 101751 120014 125232 135668 180021 187848 203502 240028 271336 305253 360042 375696 407004 480056 540063 542672 610506 720084 780091 814008 960112 1080126 1221012 1440168 1560182 1628016 2160252 2340273 2442024 2880336 3120364 4320504 4680546 4884048 6240728 7020819 8641008 9361092 12481456 14041638 18722184 28083276 37444368 56166552 112333104