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221001221122220 = 225711310814617203
BaseRepresentation
bin110010001111111111011011…
…010001111010100010101100
31001222111111210002021102111002
4302033333123101322202230
5212431341000101402340
62102010320455015432
764356545165425520
oct6217773321724254
91058444702242432
10221001221122220
11644661009194a0
122095362596a578
139641430819a76
143c80732555d80
151a83b3799a715
hexc8ffdb47a8ac

221001221122220 has 96 divisors (see below), whose sum is σ = 578640120823296. Its totient is φ = 68881266316800.

The previous prime is 221001221122207. The next prime is 221001221122247. The reversal of 221001221122220 is 22221122100122.

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 = 221001221122192 and 221001221122201.

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, 45556139 + ... + 50173341.

It is an arithmetic number, because the mean of its divisors is an integer number (6027501258576).

Almost surely, 2221001221122220 is an apocalyptic number.

221001221122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001221122220 is an abundant number, since it is smaller than the sum of its proper divisors (357638899701076).

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

221001221122220 is a wasteful number, since it uses less digits than its factorization.

221001221122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648311 (or 4648309 counting only the distinct ones).

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

Adding to 221001221122220 its reverse (22221122100122), we get a palindrome (243222343222342).

The spelling of 221001221122220 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 31081 62162 124324 155405 217567 310810 341891 435134 621620 683782 870268 1087835 1367564 1709455 2175670 2393237 3418910 4351340 4617203 4786474 6837820 9234406 9572948 11966185 18468812 23086015 23932370 32320421 46172030 47864740 50789233 64640842 92344060 101578466 129281684 161602105 203156932 253946165 323204210 355524631 507892330 646408420 711049262 1015784660 1422098524 1777623155 3555246310 7110492620 143507286443 287014572886 574029145772 717536432215 1004551005101 1435072864430 1578580150873 2009102010202 2870145728860 3157160301746 4018204020404 5022755025505 6314320603492 7892900754365 10045510051010 11050061056111 15785801508730 20091020102020 22100122112222 31571603017460 44200244224444 55250305280555 110500610561110 221001221122220