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221122021021220 = 2251119219913991009
BaseRepresentation
bin110010010001101111111011…
…100000111101011000100100
31001222221001120211121010010102
4302101233323200331120210
5212440330344340134340
62102142015404043232
764401352546554134
oct6221577340753044
91058831524533112
10221122021021220
1164502360255570
1220972b19533518
13964c942650047
143c86511bdcac4
151a86d57ca8215
hexc91bfb83d624

221122021021220 has 144 divisors (see below), whose sum is σ = 537321940848000. Its totient is φ = 75793207818240.

The previous prime is 221122021021211. The next prime is 221122021021243. The reversal of 221122021021220 is 22120120221122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221122021021192 and 221122021021201.

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, 8809076 + ... + 22800084.

It is an arithmetic number, because the mean of its divisors is an integer number (3731402367000).

Almost surely, 2221122021021220 is an apocalyptic number.

221122021021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221122021021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268660970424000).

221122021021220 is an abundant number, since it is smaller than the sum of its proper divisors (316199919826780).

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

221122021021220 is a wasteful number, since it uses less digits than its factorization.

221122021021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13991266 (or 13991245 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221122021021220 its reverse (22120120221122), we get a palindrome (243242141242342).

The spelling of 221122021021220 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 199 209 220 361 380 398 418 722 796 836 995 1045 1444 1805 1990 2090 2189 3610 3781 3971 3980 4180 4378 7220 7562 7942 8756 10945 15124 15884 18905 19855 21890 37810 39710 41591 43780 71839 75620 79420 83182 143678 166364 207955 287356 359195 415910 718390 790229 831820 1436780 1580458 3160916 3951145 7902290 13991009 15804580 27982018 55964036 69955045 139910090 153901099 265829171 279820180 307802198 531658342 615604396 769505495 1063316684 1329145855 1539010990 2658291710 2784210791 2924120881 3078021980 5050754249 5316583420 5568421582 5848241762 10101508498 11136843164 11696483524 13921053955 14620604405 20203016996 25253771245 27842107910 29241208810 30626318701 50507542490 52900005029 55558296739 55684215820 58482417620 61252637402 101015084980 105800010058 111116593478 122505274804 153131593505 211600020116 222233186956 264500025145 277791483695 306263187010 529000050290 555582967390 581900055319 612526374020 1005100095551 1058000100580 1111165934780 1163800110638 2010200191102 2327600221276 2909500276595 4020400382204 5025500477755 5819000553190 10051000955510 11056101051061 11638001106380 20102001911020 22112202102122 44224404204244 55280505255305 110561010510610 221122021021220