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2100112021220 = 2254111393224797
BaseRepresentation
bin11110100011111000011…
…011100101011011100100
321102202202102021110102212
4132203320123211123210
5233402012134134340
64244440025022552
7304504506434033
oct36437033453344
97382672243385
102100112021220
1173a71a539104
1229b023324a58
13123069336155
147390875071a
1539966e93a65
hex1e8f86e56e4

2100112021220 has 48 divisors (see below), whose sum is σ = 4518218598768. Its totient is φ = 819480330240.

The previous prime is 2100112021219. The next prime is 2100112021237. The reversal of 2100112021220 is 221202110012.

It can be written as a sum of positive squares in 8 ways, for example, as 43113539044 + 2056998482176 = 207638^2 + 1434224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100112021195 and 2100112021204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9229862 + ... + 9454658.

It is an arithmetic number, because the mean of its divisors is an integer number (94129554141).

Almost surely, 22100112021220 is an apocalyptic number.

2100112021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100112021220 is an abundant number, since it is smaller than the sum of its proper divisors (2418106577548).

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

2100112021220 is a wasteful number, since it uses less digits than its factorization.

2100112021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236240 (or 236238 counting only the distinct ones).

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

Adding to 2100112021220 its reverse (221202110012), we get a palindrome (2321314131232).

The spelling of 2100112021220 in words is "two trillion, one hundred billion, one hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 11393 22786 45572 56965 113930 224797 227860 449594 467113 899188 934226 1123985 1868452 2247970 2335565 4495940 4671130 9216677 9342260 18433354 36866708 46083385 92166770 184333540 2561112221 5122224442 10244448884 12805561105 25611122210 51222244420 105005601061 210011202122 420022404244 525028005305 1050056010610 2100112021220