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211011221010200 = 235213122279663713
BaseRepresentation
bin101111111110100111100000…
…110111110011011100011000
31000200010110211210121010010012
4233332213200313303130120
5210124201440034311300
62024441114450141052
762306025523515452
oct5776474067633430
91020113753533105
10211011221010200
11612643a1233306
121b7bb47ab81788
13909837133ca30
143a16dd755b2d2
15195dd458e2435
hexbfe9e0df3718

211011221010200 has 96 divisors (see below), whose sum is σ = 528344750959200. Its totient is φ = 77911080898560.

The previous prime is 211011221010199. The next prime is 211011221010203. The reversal of 211011221010200 is 2010122110112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011221010203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 317593544 + ... + 318257256.

It is an arithmetic number, because the mean of its divisors is an integer number (5503591155825).

Almost surely, 2211011221010200 is an apocalyptic number.

211011221010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011221010200 is an abundant number, since it is smaller than the sum of its proper divisors (317333529949000).

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

211011221010200 is a wasteful number, since it uses less digits than its factorization.

211011221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786021 (or 786012 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211011221010200 its reverse (2010122110112), we get a palindrome (213021343120312).

The spelling of 211011221010200 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 122279 244558 489116 611395 663713 978232 1222790 1327426 1589627 2445580 2654852 3056975 3179254 3318565 4891160 5309704 6113950 6358508 6637130 7948135 8628269 12227900 12717016 13274260 15896270 16592825 17256538 24455800 26548520 31792540 33185650 34513076 39740675 43141345 63585080 66371300 69026152 79481350 86282690 132742600 158962700 172565380 215706725 317925400 345130760 431413450 862826900 1725653800 81158161927 162316323854 324632647708 405790809635 649265295416 811581619270 1055056105051 1623163238540 2028954048175 2110112210102 3246326477080 4057908096350 4220224420204 5275280525255 8115816192700 8440448840408 10550561050510 16231632385400 21101122101020 26376402626275 42202244202040 52752805252550 105505610505100 211011221010200