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222122221121100 = 2235219292311333133
BaseRepresentation
bin110010100000010011011100…
…000101100010111001001100
31002010110200021111112200001010
4302200103130011202321030
5213103222302101333400
62104225312323245220
764533541464254556
oct6240233405427114
91063420244480033
10222122221121100
1164858561121463
1220ab4936519810
1396c3060209481
143cbcab6a524d6
151aa2d96d98450
hexca04dc162e4c

222122221121100 has 144 divisors (see below), whose sum is σ = 676522204807680. Its totient is φ = 56113125638400.

The previous prime is 222122221121071. The next prime is 222122221121131. The reversal of 222122221121100 is 1121122221222.

It is a super-2 number, since 2×2221222211211002 (a number of 29 digits) contains 22 as substring.

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, 165950134 + ... + 167283266.

It is an arithmetic number, because the mean of its divisors is an integer number (4698070866720).

Almost surely, 2222122221121100 is an apocalyptic number.

222122221121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122221121100 is an abundant number, since it is smaller than the sum of its proper divisors (454399983686580).

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

222122221121100 is a wasteful number, since it uses less digits than its factorization.

222122221121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362400 (or 1362393 counting only the distinct ones).

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

Adding to 222122221121100 its reverse (1121122221222), we get a palindrome (223243343342322).

The spelling of 222122221121100 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 29231 58462 87693 116924 146155 175386 292310 350772 438465 555389 584620 730775 876930 1110778 1333133 1461550 1666167 1753860 2192325 2221556 2666266 2776945 2923100 3332334 3999399 4384650 5332532 5553890 6664668 6665665 7998798 8330835 8769300 11107780 13331330 13884725 15997596 16661670 19996995 25329527 26662660 27769450 33323340 33328325 39993990 41654175 50659054 55538900 66656650 75988581 79987980 83308350 99984975 101318108 126647635 133313300 151977162 166616700 199969950 253295270 303954324 379942905 399939900 506590540 633238175 759885810 1266476350 1519771620 1899714525 2532952700 3799429050 7598858100 38968810723 77937621446 116906432169 155875242892 194844053615 233812864338 389688107230 467625728676 584532160845 740407403737 779376214460 974220268075 1169064321690 1480814807474 1948440536150 2221222211211 2338128643380 2922660804225 2961629614948 3702037018685 3896881072300 4442444422422 5845321608450 7404074037370 8884888844844 11106111056055 11690643216900 14808148074740 18510185093425 22212222112110 37020370186850 44424444224220 55530555280275 74040740373700 111061110560550 222122221121100