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211122212012220 = 223537121778143053
BaseRepresentation
bin110000000000001110111000…
…011100111000000010111100
31000200112002022221202012200210
4300000032320130320002330
5210133011242233342340
62025004112200352420
762320035140462565
oct6000167034700274
91020462287665623
10211122212012220
11612a7477810953
121b818a95775710
1390a597bc46362
143a1c5261c916c
151961b8e9e0180
hexc003b87380bc

211122212012220 has 96 divisors (see below), whose sum is σ = 607617882704448. Its totient is φ = 54732643909632.

The previous prime is 211122212012219. The next prime is 211122212012263. The reversal of 211122212012220 is 22210212221112.

It is a super-2 number, since 2×2111222120122202 (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36369787 + ... + 41773266.

It is an arithmetic number, because the mean of its divisors is an integer number (6329352944838).

Almost surely, 2211122212012220 is an apocalyptic number.

211122212012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122212012220 is an abundant number, since it is smaller than the sum of its proper divisors (396495670692228).

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

211122212012220 is a wasteful number, since it uses less digits than its factorization.

211122212012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78144319 (or 78144317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211122212012220 its reverse (22210212221112), we get a palindrome (233332424233332).

The spelling of 211122212012220 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1217 2220 2434 3651 4868 6085 7302 12170 14604 18255 24340 36510 45029 73020 90058 135087 180116 225145 270174 450290 540348 675435 900580 1350870 2701740 78143053 156286106 234429159 312572212 390715265 468858318 781430530 937716636 1172145795 1562861060 2344291590 2891292961 4688583180 5782585922 8673878883 11565171844 14456464805 17347757766 28912929610 34695515532 43369394415 57825859220 86738788830 95100095501 173477577660 190200191002 285300286503 380400382004 475500477505 570600573006 951000955010 1141201146012 1426501432515 1902001910020 2853002865030 3518703533537 5706005730060 7037407067074 10556110600611 14074814134148 17593517667685 21112221201222 35187035335370 42224442402444 52780553003055 70374070670740 105561106006110 211122212012220