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200102222120220 = 22335727562442257
BaseRepresentation
bin101101011111110111101101…
…110111100100010100011100
3222020111120210220120210201000
4231133313231313210110130
5202211433322330321340
61545325405232150300
760101623414101600
oct5537675567442434
9866446726523630
10200102222120220
115883896a807242
121a539199398390
138786735276454
14375addbc3d500
1518201b8414d30
hexb5fdedde451c

200102222120220 has 144 divisors (see below), whose sum is σ = 724179470626080. Its totient is φ = 45737650764288.

The previous prime is 200102222120189. The next prime is 200102222120231. The reversal of 200102222120220 is 22021222201002.

200102222120220 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 222 + 212 + 0 + 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 = 200102222120193 and 200102222120202.

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, 3781194669 + ... + 3781247588.

It is an arithmetic number, because the mean of its divisors is an integer number (5029024101570).

Almost surely, 2200102222120220 is an apocalyptic number.

200102222120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102222120220 is an abundant number, since it is smaller than the sum of its proper divisors (524077248505860).

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

200102222120220 is a wasteful number, since it uses less digits than its factorization.

200102222120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562442289 (or 7562442274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200102222120220 its reverse (22021222201002), we get a palindrome (222123444321222).

The spelling of 200102222120220 in words is "two hundred trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 7562442257 15124884514 22687326771 30249769028 37812211285 45374653542 52937095799 68061980313 75624422570 90749307084 105874191598 113436633855 136123960626 151248845140 158811287397 204185940939 211748383196 226873267710 264685478995 272247921252 317622574794 340309901565 370559670593 408371881878 453746535420 476433862191 529370957990 635245149588 680619803130 741119341186 794056436985 816743763756 952867724382 1020929704695 1058741915980 1111679011779 1361239606260 1429301586573 1482238682372 1588112873970 1852798352965 1905735448764 2041859409390 2223358023558 2382169310955 2858603173146 3176225747940 3335037035337 3705596705930 4083718818780 4446716047116 4764338621910 5558395058895 5717206346292 6670074070674 7146507932865 7411193411860 9528677243820 10005111106011 11116790117790 13340148141348 14293015865730 16675185176685 20010222212022 22233580235580 28586031731460 33350370353370 40020444424044 50025555530055 66700740706740 100051111060110 200102222120220