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220111020211000 = 23532343783218579
BaseRepresentation
bin110010000011000010010111…
…001010111011101100111000
31001212100102000110012121222211
4302003002113022323230320
5212322244332133223000
62100045335020024504
764235332162506112
oct6203022712735470
91055312013177884
10220111020211000
1164152617699086
122082aba7392134
1395a84c3235159
143c4d6047543b2
151a6a8d58927ba
hexc830972bbb38

220111020211000 has 128 divisors (see below), whose sum is σ = 537468425395200. Its totient is φ = 84214081564800.

The previous prime is 220111020210989. The next prime is 220111020211003. The reversal of 220111020211000 is 112020111022.

It is a super-2 number, since 2×2201110202110002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111020211003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1006899711 + ... + 1007118289.

It is an arithmetic number, because the mean of its divisors is an integer number (4198972073400).

Almost surely, 2220111020211000 is an apocalyptic number.

220111020211000 is a gapful number since it is divisible by the number (20) 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 220111020211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268734212697600).

220111020211000 is an abundant number, since it is smaller than the sum of its proper divisors (317357405184200).

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

220111020211000 is a wasteful number, since it uses less digits than its factorization.

220111020211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262406 (or 262392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220111020211000 its reverse (112020111022), we get a palindrome (220223040322022).

The spelling of 220111020211000 in words is "two hundred twenty trillion, one hundred eleven billion, twenty million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 43783 87566 175132 218579 218915 350264 437158 437830 874316 875660 1007009 1092895 1094575 1748632 1751320 2014018 2185790 2189150 4028036 4371580 4378300 5027317 5035045 5464475 5472875 8056072 8743160 8756600 10054634 10070090 10928950 10945750 20109268 20140180 21857900 21891500 25136585 25175225 27322375 40218536 40280360 43715800 43783000 50273170 50350450 54644750 100546340 100700900 109289500 125682925 125876125 201092680 201401800 218579000 251365850 251752250 502731700 503504500 628414625 1005463400 1007009000 1256829250 2513658500 5027317000 9570044357 19140088714 38280177428 47850221785 76560354856 95700443570 191400887140 220111020211 239251108925 382801774280 440222040422 478502217850 880444080844 957004435700 1100555101055 1196255544625 1760888161688 1914008871400 2201110202110 2392511089250 4402220404220 4785022178500 5502775505275 8804440808440 9570044357000 11005551010550 22011102021100 27513877526375 44022204042200 55027755052750 110055510105500 220111020211000