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112343124300 = 2235211149228479
BaseRepresentation
bin110100010100000101…
…1000000100101001100
3101201222101102000122120
41220220023000211030
53320034314434200
6123335411012540
711054652541431
oct1505013004514
9351871360576
10112343124300
114370a846080
121993359a150
13a794a909a4
14561a479b88
152dc7b869a0
hex1a282c094c

112343124300 has 144 divisors (see below), whose sum is σ = 356977152000. Its totient is φ = 27051795200.

The previous prime is 112343124269. The next prime is 112343124317. The reversal of 112343124300 is 3421343211.

It is a happy number.

112343124300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 377461 + ... + 605939.

It is an arithmetic number, because the mean of its divisors is an integer number (2479008000).

Almost surely, 2112343124300 is an apocalyptic number.

112343124300 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 112343124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576000).

112343124300 is an abundant number, since it is smaller than the sum of its proper divisors (244634027700).

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

112343124300 is a wasteful number, since it uses less digits than its factorization.

112343124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228656 (or 228649 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112343124300 its reverse (3421343211), we get a palindrome (115764467511).

Subtracting from 112343124300 its reverse (3421343211), we obtain a square (108921781089 = 3300332).

The spelling of 112343124300 in words is "one hundred twelve billion, three hundred forty-three million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 149 150 165 220 275 298 300 330 447 550 596 660 745 825 894 1100 1490 1639 1650 1788 2235 2980 3278 3300 3725 4470 4917 6556 7450 8195 8940 9834 11175 14900 16390 19668 22350 24585 32780 40975 44700 49170 81950 98340 122925 163900 228479 245850 456958 491700 685437 913916 1142395 1370874 2284790 2513269 2741748 3427185 4569580 5026538 5711975 6854370 7539807 10053076 11423950 12566345 13708740 15079614 17135925 22847900 25132690 30159228 34043371 34271850 37699035 50265380 62831725 68086742 68543700 75398070 102130113 125663450 136173484 150796140 170216855 188495175 204260226 251326900 340433710 374477081 376990350 408520452 510650565 680867420 748954162 753980700 851084275 1021301130 1123431243 1497908324 1702168550 1872385405 2042602260 2246862486 2553252825 3404337100 3744770810 4493724972 5106505650 5617156215 7489541620 9361927025 10213011300 11234312430 18723854050 22468624860 28085781075 37447708100 56171562150 112343124300