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212021022110220 = 223252373496968677
BaseRepresentation
bin110000001101010011111101…
…101101010011001000001100
31000210201000022120112000020200
4300031103331231103020030
5210242223023130011340
62030533040220213500
762442004402323231
oct6015237555231014
91023630276460220
10212021022110220
1161613679671764
121b94311739a290
13913c65c03532b
143a4dc2d54d788
15197a247828330
hexc0d4fdb5320c

212021022110220 has 144 divisors (see below), whose sum is σ = 671184040363200. Its totient is φ = 54073357797888.

The previous prime is 212021022110213. The next prime is 212021022110251. The reversal of 212021022110220 is 22011220120212.

It is a happy number.

212021022110220 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 210 + 221 + 10 + 220 = 666.

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 = 212021022110193 and 212021022110202.

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 47 ways as a sum of consecutive naturals, for example, 26940522 + ... + 33909198.

It is an arithmetic number, because the mean of its divisors is an integer number (4661000280300).

Almost surely, 2212021022110220 is an apocalyptic number.

212021022110220 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 212021022110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335592020181600).

212021022110220 is an abundant number, since it is smaller than the sum of its proper divisors (459163018252980).

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

212021022110220 is a wasteful number, since it uses less digits than its factorization.

212021022110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976064 (or 6976059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212021022110220 its reverse (22011220120212), we get a palindrome (234032242230432).

The spelling of 212021022110220 in words is "two hundred twelve trillion, twenty-one billion, twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 7349 14698 22047 29396 36745 44094 66141 73490 88188 110235 132282 146980 169027 220470 264564 330705 338054 440940 507081 661410 676108 845135 1014162 1322820 1521243 1690270 2028324 2535405 3042486 3380540 5070810 6084972 6968677 7606215 10141620 13937354 15212430 20906031 27874708 30424860 34843385 41812062 62718093 69686770 83624124 104530155 125436186 139373540 160279571 209060310 250872372 313590465 320559142 418120620 480838713 627180930 641118284 801397855 961677426 1254361860 1442516139 1602795710 1923354852 2404193565 2885032278 3205591420 4808387130 5770064556 7212580695 9616774260 14425161390 28850322780 51212807273 102425614546 153638421819 204851229092 256064036365 307276843638 460915265457 512128072730 614553687276 768192109095 921830530914 1024256145460 1177894567279 1536384218190 1843661061828 2304576327285 2355789134558 3072768436380 3533683701837 4609152654570 4711578269116 5889472836395 7067367403674 9218305309140 10601051105511 11778945672790 14134734807348 17668418509185 21202102211022 23557891345580 35336837018370 42404204422044 53005255527555 70673674036740 106010511055110 212021022110220