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221210021120220 = 2232511193578871673
BaseRepresentation
bin110010010011000001111000…
…101110101100100011011100
31002000020110201201022022211100
4302103001320232230203130
5212443301110401321340
62102250251503353100
764410616353220416
oct6223017056544334
91060213651268740
10221210021120220
1164536708a97410
1220987b985b2790
139658028031042
143c8a89d2699b6
151a892a8791830
hexc93078bac8dc

221210021120220 has 144 divisors (see below), whose sum is σ = 735796838361312. Its totient is φ = 53348813291520.

The previous prime is 221210021120171. The next prime is 221210021120251. The reversal of 221210021120220 is 22021120012122.

It is a happy number.

221210021120220 is a `hidden beast` number, since 2 + 2 + 1 + 210 + 0 + 211 + 20 + 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 = 221210021120193 and 221210021120202.

It is a congruent number.

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, 289053697 + ... + 289817976.

It is an arithmetic number, because the mean of its divisors is an integer number (5109700266398).

Almost surely, 2221210021120220 is an apocalyptic number.

221210021120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210021120220 is an abundant number, since it is smaller than the sum of its proper divisors (514586817241092).

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

221210021120220 is a wasteful number, since it uses less digits than its factorization.

221210021120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578871892 (or 578871887 counting only the distinct ones).

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

Adding to 221210021120220 its reverse (22021120012122), we get a palindrome (243231141132342).

The spelling of 221210021120220 in words is "two hundred twenty-one trillion, two hundred ten billion, twenty-one million, one hundred twenty 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 99 110 132 165 180 193 198 220 330 386 396 495 579 660 772 965 990 1158 1737 1930 1980 2123 2316 2895 3474 3860 4246 5790 6369 6948 8492 8685 10615 11580 12738 17370 19107 21230 25476 31845 34740 38214 42460 63690 76428 95535 127380 191070 382140 578871673 1157743346 1736615019 2315486692 2894358365 3473230038 5209845057 5788716730 6367588403 6946460076 8683075095 10419690114 11577433460 12735176806 17366150190 19102765209 20839380228 25470353612 26049225285 31837942015 34732300380 38205530418 52098450570 57308295627 63675884030 76411060836 95513826045 104196901140 111722232889 114616591254 127351768060 191027652090 223444465778 229233182508 286541478135 335166698667 382055304180 446888931556 558611164445 573082956270 670333397334 1005500096001 1117222328890 1146165912540 1228944561779 1340666794668 1675833493335 2011000192002 2234444657780 2457889123558 3351666986670 3686833685337 4022000384004 4915778247116 5027500480005 6144722808895 6703333973340 7373667370674 10055000960010 11060501056011 12289445617790 14747334741348 18434168426685 20110001920020 22121002112022 24578891235580 36868336853370 44242004224044 55302505280055 73736673706740 110605010560110 221210021120220