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221211200001020 = 22557196612005021
BaseRepresentation
bin110010010011000010111110…
…111111110001001111111100
31002000020120202212120200021012
4302103002332333301033330
5212443311014200013040
62102251004455054352
764410660516435605
oct6223027677611774
91060216685520235
10221211200001020
1164537163488a69
12209882673713b8
13965818533c848
143c8a971a5cdac
151a89327009865
hexc930beff13fc

221211200001020 has 48 divisors (see below), whose sum is σ = 465405482077536. Its totient is φ = 88320328992000.

The previous prime is 221211200000971. The next prime is 221211200001049. The reversal of 221211200001020 is 20100002112122.

It is a junction number, because it is equal to n+sod(n) for n = 221211200000986 and 221211200001004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109326110 + ... + 111331130.

It is an arithmetic number, because the mean of its divisors is an integer number (9695947543282).

Almost surely, 2221211200001020 is an apocalyptic number.

221211200001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211200001020 is an abundant number, since it is smaller than the sum of its proper divisors (244194282076516).

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

221211200001020 is a wasteful number, since it uses less digits than its factorization.

221211200001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015262 (or 2015260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221211200001020 its reverse (20100002112122), we get a palindrome (241311202113142).

The spelling of 221211200001020 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 571 1142 2284 2855 5710 9661 11420 19322 38644 48305 96610 193220 2005021 4010042 5516431 8020084 10025105 11032862 20050210 22065724 27582155 40100420 55164310 110328620 1144866991 2289733982 4579467964 5724334955 11448669910 19370507881 22897339820 38741015762 77482031524 96852539405 193705078810 387410157620 11060560000051 22121120000102 44242240000204 55302800000255 110605600000510 221211200001020