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211011011012200 = 23527577261216899
BaseRepresentation
bin101111111110100111010100…
…010110101110011001101000
31000200010110022011110010000111
4233332213110112232121220
5210124201022304342300
62024441041545144104
762306020363540420
oct5776472426563150
91020113264403014
10211011011012200
11612642a3741743
121b7bb42078b034
139098339994a69
143a16db76d5480
15195dd322609ba
hexbfe9d45ae668

211011011012200 has 96 divisors (see below), whose sum is σ = 561658129704000. Its totient is φ = 72221247959040.

The previous prime is 211011011012141. The next prime is 211011011012209. The reversal of 211011011012200 is 2210110110112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211011011012209) 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, 129800650 + ... + 131416249.

It is an arithmetic number, because the mean of its divisors is an integer number (5850605517750).

Almost surely, 2211011011012200 is an apocalyptic number.

211011011012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011011012200 is an abundant number, since it is smaller than the sum of its proper divisors (350647118691800).

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

211011011012200 is a wasteful number, since it uses less digits than its factorization.

211011011012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261217499 (or 261217490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211011011012200 its reverse (2210110110112), we get a palindrome (213221121122312).

The spelling of 211011011012200 in words is "two hundred eleven trillion, eleven billion, eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 577 700 1154 1400 2308 2885 4039 4616 5770 8078 11540 14425 16156 20195 23080 28850 32312 40390 57700 80780 100975 115400 161560 201950 403900 807800 261216899 522433798 1044867596 1306084495 1828518293 2089735192 2612168990 3657036586 5224337980 6530422475 7314073172 9142591465 10448675960 13060844950 14628146344 18285182930 26121689900 36570365860 45712957325 52243379800 73140731720 91425914650 150722150723 182851829300 301444301446 365703658600 602888602892 753610753615 1055055055061 1205777205784 1507221507230 2110110110122 3014443014460 3768053768075 4220220220244 5275275275305 6028886028920 7536107536150 8440440440488 10550550550610 15072215072300 21101101101220 26376376376525 30144430144600 42202202202440 52752752753050 105505505506100 211011011012200