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221003303222020 = 2251129275312582643
BaseRepresentation
bin110010010000000001010111…
…011000011111101100000100
31001222111201011012010001110111
4302100001113120133230010
5212431404231111101040
62102011303233402404
764356650610120364
oct6220012730375404
91058451135101414
10221003303222020
1164466a7a140930
1220953b07109404
1396416a2cab197
143c8088cca29a4
151a83c0a678dea
hexc9005761fb04

221003303222020 has 96 divisors (see below), whose sum is σ = 523947335829120. Its totient is φ = 77565444956160.

The previous prime is 221003303221927. The next prime is 221003303222083. The reversal of 221003303222020 is 20222303300122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221003303221982 and 221003303222000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11272819 + ... + 23855461.

It is an arithmetic number, because the mean of its divisors is an integer number (5457784748220).

Almost surely, 2221003303222020 is an apocalyptic number.

221003303222020 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 221003303222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261973667914560).

221003303222020 is an abundant number, since it is smaller than the sum of its proper divisors (302944032607100).

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

221003303222020 is a wasteful number, since it uses less digits than its factorization.

221003303222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585445 (or 12585443 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 221003303222020 its reverse (20222303300122), we get a palindrome (241225606522142).

The spelling of 221003303222020 in words is "two hundred twenty-one trillion, three billion, three hundred three million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2753 3190 5506 6380 11012 13765 27530 30283 55060 60566 79837 121132 151415 159674 302830 319348 399185 605660 798370 878207 1596740 1756414 3512828 4391035 8782070 12582643 17564140 25165286 50330572 62913215 125826430 138409073 251652860 276818146 364896647 553636292 692045365 729793294 1384090730 1459586588 1824483235 2768181460 3648966470 4013863117 7297932940 8027726234 16055452468 20069315585 34640016179 40138631170 69280032358 80277262340 138560064716 173200080895 346400161790 381040177969 692800323580 762080355938 1004560469191 1524160711876 1905200889845 2009120938382 3810401779690 4018241876764 5022802345955 7620803559380 10045604691910 11050165161101 20091209383820 22100330322202 44200660644404 55250825805505 110501651611010 221003303222020