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221122020101220 = 22325733581503403
BaseRepresentation
bin110010010001101111111011…
…011101011100110001100100
31001222221001120202212101010100
4302101233323131130301210
5212440330344121214340
62102142015332224100
764401352536003000
oct6221577335346144
91058831522771110
10221122020101220
116450235a787337
1220972b1916b030
13964c9423ba374
143c86511a3d700
151a86d57b75830
hexc91bfb75cc64

221122020101220 has 144 divisors (see below), whose sum is σ = 782200343433600. Its totient is φ = 50542176009024.

The previous prime is 221122020101123. The next prime is 221122020101237. The reversal of 221122020101220 is 22101020221122.

It is a happy number.

221122020101220 is a `hidden beast` number, since 2 + 21 + 1 + 220 + 201 + 0 + 1 + 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 = 221122020101193 and 221122020101202.

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, 1790689962 + ... + 1790813441.

It is an arithmetic number, because the mean of its divisors is an integer number (5431946829400).

Almost surely, 2221122020101220 is an apocalyptic number.

221122020101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122020101220 is an abundant number, since it is smaller than the sum of its proper divisors (561078323332380).

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

221122020101220 is a wasteful number, since it uses less digits than its factorization.

221122020101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581503439 (or 3581503420 counting only the distinct ones).

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

Adding to 221122020101220 its reverse (22101020221122), we get a palindrome (243223040322342).

The spelling of 221122020101220 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 3581503403 7163006806 10744510209 14326013612 17907517015 21489020418 25070523821 32233530627 35815034030 42978040836 50141047642 53722551045 64467061254 71630068060 75211571463 100282095284 107445102090 125352619105 128934122508 150423142926 161167653135 175493666747 214890204180 225634714389 250705238210 300846285852 322335306270 350987333494 376057857315 451269428778 501410476420 526481000241 644670612540 701974666988 752115714630 877468333735 902538857556 1052962000482 1128173571945 1228455667229 1504231429260 1579443000723 1754936667470 2105924000964 2256347143890 2456911334458 2632405001205 3158886001446 3509873334940 3685367001687 4512694287780 4913822668916 5264810002410 6142278336145 6317772002892 7370734003374 7897215003615 10529620004820 11056101005061 12284556672290 14741468006748 15794430007230 18426835008435 22112202010122 24569113344580 31588860014460 36853670016870 44224404020244 55280505025305 73707340033740 110561010050610 221122020101220