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110021221112220 = 223251172089770801
BaseRepresentation
bin11001000001000001001111…
…110011010101100110011100
3112102112221000001210222102100
4121001001033303111212130
5103410041430101042340
61025555015021525100
732113525265142435
oct3101011763254634
9472487001728370
10110021221112220
1132068813085970
121040aa24413790
134950c58952cb2
141d250ac49048c
15cabd87789830
hex64104fcd599c

110021221112220 has 144 divisors (see below), whose sum is σ = 364075745211360. Its totient is φ = 26671406592000.

The previous prime is 110021221112191. The next prime is 110021221112269. The reversal of 110021221112220 is 22211122120011.

110021221112220 is a `hidden beast` number, since 1 + 10 + 0 + 212 + 211 + 12 + 220 = 666.

110021221112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 110021221112193 and 110021221112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142350820 + ... + 143121620.

It is an arithmetic number, because the mean of its divisors is an integer number (2528303786190).

Almost surely, 2110021221112220 is an apocalyptic number.

110021221112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021221112220 is an abundant number, since it is smaller than the sum of its proper divisors (254054524099140).

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

110021221112220 is a wasteful number, since it uses less digits than its factorization.

110021221112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842916 (or 842911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110021221112220 its reverse (22211122120011), we get a palindrome (132232343232231).

The spelling of 110021221112220 in words is "one hundred ten trillion, twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 72089 144178 216267 288356 360445 432534 648801 720890 770801 792979 865068 1081335 1297602 1441780 1541602 1585958 2162670 2312403 2378937 2595204 3083204 3171916 3244005 3854005 3964895 4325340 4624806 4757874 6488010 6937209 7136811 7708010 7929790 8478811 9249612 9515748 11562015 11894685 12976020 13874418 14273622 15416020 15859580 16957622 23124030 23789370 25436433 27748836 28547244 33915244 34686045 35684055 42394055 46248060 47578740 50872866 69372090 71368110 76309299 84788110 101745732 127182165 138744180 142736220 152618598 169576220 254364330 305237196 381546495 508728660 763092990 1526185980 55566273289 111132546578 166698819867 222265093156 277831366445 333397639734 500096459601 555662732890 611229006179 666795279468 833494099335 1000192919202 1111325465780 1222458012358 1666988198670 1833687018537 2000385838404 2444916024716 2500482298005 3056145030895 3333976397340 3667374037074 5000964596010 5501061055611 6112290061790 7334748074148 9168435092685 10001929192020 11002122111222 12224580123580 18336870185370 22004244222444 27505305278055 36673740370740 55010610556110 110021221112220