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112210102202200 = 235231161311220337
BaseRepresentation
bin11001100000110111110011…
…010010000010111101011000
3112201022011212221202100202121
4121200313303102002331120
5104201422242130432300
61034352335340111024
732430624636340312
oct3140676322027530
9481264787670677
10112210102202200
1132832045422212
12107030a0235474
134a7c4a0a77122
141d9cdd843a7b2
15ce8c979ae81a
hex660df3482f58

112210102202200 has 96 divisors (see below), whose sum is σ = 269471227916160. Its totient is φ = 43409235916800.

The previous prime is 112210102202153. The next prime is 112210102202221. The reversal of 112210102202200 is 2202201012211.

It is a happy number.

It is a super-2 number, since 2×1122101022022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4390432 + ... + 15610768.

It is an arithmetic number, because the mean of its divisors is an integer number (2806991957460).

Almost surely, 2112210102202200 is an apocalyptic number.

112210102202200 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 112210102202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134735613958080).

112210102202200 is an abundant number, since it is smaller than the sum of its proper divisors (157261125713960).

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

112210102202200 is a wasteful number, since it uses less digits than its factorization.

112210102202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221997 (or 11221988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112210102202200 its reverse (2202201012211), we get a palindrome (114412303214411).

The spelling of 112210102202200 in words is "one hundred twelve trillion, two hundred ten billion, one hundred two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 1613 3100 3226 6200 6452 8065 12904 16130 32260 40325 50003 64520 80650 100006 161300 200012 250015 322600 400024 500030 1000060 1250075 2000120 2500150 5000300 10000600 11220337 22440674 44881348 56101685 89762696 112203370 224406740 280508425 347830447 448813480 561016850 695660894 1122033700 1391321788 1739152235 2244067400 2782643576 3478304470 6956608940 8695761175 13913217880 17391522350 18098403581 34783044700 36196807162 69566089400 72393614324 90492017905 144787228648 180984035810 361968071620 452460089525 561050511011 723936143240 904920179050 1122101022022 1809840358100 2244202044044 2805252555055 3619680716200 4488404088088 5610505110110 11221010220220 14026262775275 22442020440440 28052525550550 56105051101100 112210102202200