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211100212020200 = 23521778437791569
BaseRepresentation
bin101111111111111010011001…
…001001100100001111101000
31000200102222112201212211011112
4233333322121021210033220
5210132131213234121300
62024550033144245452
762315326021566266
oct5777723111441750
91020388481784145
10211100212020200
1161299108350268
121b814775a70888
1390a38840c7bb9
143a1b43a44b436
1519613033b3e35
hexbffe992643e8

211100212020200 has 96 divisors (see below), whose sum is σ = 519686333314200. Its totient is φ = 79471907389440.

The previous prime is 211100212020101. The next prime is 211100212020209. The reversal of 211100212020200 is 2020212001112.

It can be written as a sum of positive squares in 12 ways, for example, as 62180510953444 + 148919701066756 = 7885462^2 + 12203266^2 .

It is not an unprimeable number, because it can be changed into a prime (211100212020209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266290016 + ... + 267081584.

Almost surely, 2211100212020200 is an apocalyptic number.

211100212020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100212020200 is an abundant number, since it is smaller than the sum of its proper divisors (308586121294000).

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

211100212020200 is a wasteful number, since it uses less digits than its factorization.

211100212020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870039 (or 870030 counting only the distinct ones).

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

Adding to 211100212020200 its reverse (2020212001112), we get a palindrome (213120424021312).

The spelling of 211100212020200 in words is "two hundred eleven trillion, one hundred billion, two hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 78437 156874 313748 392185 627496 784370 791569 1333429 1568740 1583138 1960925 2666858 3137480 3166276 3921850 3957845 5333716 6332552 6667145 7843700 7915690 10667432 13334290 13456673 15687400 15831380 19789225 26668580 26913346 31662760 33335725 39578450 53337160 53826692 66671450 67283365 79156900 107653384 133342900 134566730 158313800 266685800 269133460 336416825 538266920 672833650 1345667300 2691334600 62088297653 124176595306 248353190612 310441488265 496706381224 620882976530 1055501060101 1241765953060 1552207441325 2111002120202 2483531906120 3104414882650 4222004240404 5277505300505 6208829765300 8444008480808 10555010601010 12417659530600 21110021202020 26387526502525 42220042404040 52775053005050 105550106010100 211100212020200