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221121210110020 = 2251173137100499591
BaseRepresentation
bin110010010001101111001011…
…001011100101000001000100
31001222220222111022201120002021
4302101233023023211001010
5212440322214242010040
62102141403115252524
764401323502124423
oct6221571313450104
91058828438646067
10221121210110020
1164501a84541a20
1220972931a4a144
13964c84364992c
143c864762332ba
151a86d0b9c824a
hexc91bcb2e5044

221121210110020 has 96 divisors (see below), whose sum is σ = 517256124086016. Its totient is φ = 78727358822400.

The previous prime is 221121210109981. The next prime is 221121210110117. The reversal of 221121210110020 is 20011012121122.

It is a super-2 number, since 2×2211212101100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221121210109976 and 221121210110003.

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, 48049576 + ... + 52450015.

It is an arithmetic number, because the mean of its divisors is an integer number (5388084625896).

Almost surely, 2221121210110020 is an apocalyptic number.

221121210110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121210110020 is an abundant number, since it is smaller than the sum of its proper divisors (296134913975996).

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

221121210110020 is a wasteful number, since it uses less digits than its factorization.

221121210110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100499821 (or 100499819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221121210110020 its reverse (20011012121122), we get a palindrome (241132222231142).

The spelling of 221121210110020 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 137 146 220 274 292 365 548 685 730 803 1370 1460 1507 1606 2740 3014 3212 4015 6028 7535 8030 10001 15070 16060 20002 30140 40004 50005 100010 110011 200020 220022 440044 550055 1100110 2200220 100499591 200999182 401998364 502497955 1004995910 1105495501 2009991820 2210991002 4421982004 5527477505 7336470143 11054955010 13768443967 14672940286 22109910020 27536887934 29345880572 36682350715 55073775868 68842219835 73364701430 80701171573 137684439670 146729402860 151452883637 161402343146 275368879340 302905767274 322804686292 403505857865 605811534548 757264418185 807011715730 1005096409591 1514528836370 1614023431460 2010192819182 3029057672740 4020385638364 5025482047955 10050964095910 11056060505501 20101928191820 22112121011002 44224242022004 55280302527505 110560605055010 221121210110020