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201022112201020 = 225119539091105467
BaseRepresentation
bin101101101101010000011011…
…100101101111100100111100
3222100202112012122001200101121
4231231100123211233210330
5202322021241210413040
61551312141121120324
760225240223552105
oct5555203345574474
9870675178050347
10201022112201020
1159062aa977a140
121a6675227890a4
1388223c4702826
14378d744a973ac
1518390a6be8c4a
hexb6d41b96f93c

201022112201020 has 96 divisors (see below), whose sum is σ = 461061701565696. Its totient is φ = 73013521190400.

The previous prime is 201022112201011. The next prime is 201022112201107. The reversal of 201022112201020 is 20102211220102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201022112200985 and 201022112201003.

It is a congruent number.

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, 1905966327 + ... + 1906071793.

It is an arithmetic number, because the mean of its divisors is an integer number (4802726057976).

Almost surely, 2201022112201020 is an apocalyptic number.

201022112201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022112201020 is an abundant number, since it is smaller than the sum of its proper divisors (260039589364676).

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

201022112201020 is a wasteful number, since it uses less digits than its factorization.

201022112201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115531 (or 115529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201022112201020 its reverse (20102211220102), we get a palindrome (221124323421122).

It can be divided in two parts, 2010221 and 12201020, that added together give a palindrome (14211241).

The spelling of 201022112201020 in words is "two hundred one trillion, twenty-two billion, one hundred twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 953 1906 3812 4765 9091 9530 10483 18182 19060 20966 36364 41932 45455 52415 90910 100001 104830 105467 181820 200002 209660 210934 400004 421868 500005 527335 1000010 1054670 1160137 2000020 2109340 2320274 4640548 5800685 8663723 11601370 17327446 23202740 34654892 43318615 86637230 95300953 100510051 173274460 190601906 201020102 381203812 402040204 476504765 502550255 953009530 958800497 1005100510 1105610561 1906019060 1917600994 2010201020 2211221122 3835201988 4422442244 4794002485 5528052805 9588004970 10546805467 11056105610 19176009940 21093610934 22112211220 42187221868 52734027335 105468054670 210936109340 913736873641 1827473747282 3654947494564 4568684368205 9137368736410 10051105610051 18274737472820 20102211220102 40204422440204 50255528050255 100511056100510 201022112201020