Search a number
-
+
112213122102000 = 2432536234062339
BaseRepresentation
bin11001100000111010100111…
…010010000011001011110000
3112201022110200102020011111100
4121200322213102003023300
5104201444433224231000
61034353555135044400
732431062526144023
oct3140724722031360
9481273612204440
10112213122102000
1132833355044677
12107037a3670700
134a7c86260829a
141d9d2035431ba
15ce8dc2b84a00
hex660ea74832f0

112213122102000 has 120 divisors (see below), whose sum is σ = 391923031191120. Its totient is φ = 29923499222400.

The previous prime is 112213122101999. The next prime is 112213122102019. The reversal of 112213122102000 is 201221312211.

112213122102000 is a `hidden beast` number, since 1 + 1 + 221 + 31 + 2 + 210 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3117013170 + ... + 3117049169.

It is an arithmetic number, because the mean of its divisors is an integer number (3266025259926).

Almost surely, 2112213122102000 is an apocalyptic number.

112213122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112213122102000 is an abundant number, since it is smaller than the sum of its proper divisors (279709909089120).

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

112213122102000 is a wasteful number, since it uses less digits than its factorization.

112213122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234062368 (or 6234062349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112213122102000 its reverse (201221312211), we get a palindrome (112414343414211).

The spelling of 112213122102000 in words is "one hundred twelve trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 6234062339 12468124678 18702187017 24936249356 31170311695 37404374034 49872498712 56106561051 62340623390 74808748068 93510935085 99744997424 112213122102 124681246780 149617496136 155851558475 187021870170 224426244204 249362493560 280532805255 299234992272 311703116950 374043740340 448852488408 467554675425 498724987120 561065610510 623406233900 748087480680 779257792375 897704976816 935109350850 1122131221020 1246812467800 1402664026275 1496174961360 1558515584750 1870218701700 2244262442040 2337773377125 2493624935600 2805328052550 3117031169500 3740437403400 4488524884080 4675546754250 5610656105100 6234062339000 7013320131375 7480874806800 9351093508500 11221312210200 12468124678000 14026640262750 18702187017000 22442624420400 28053280525500 37404374034000 56106561051000 112213122102000