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211200020012100 = 223527162821617681
BaseRepresentation
bin110000000001010111010110…
…001010110101110001000100
31000200210112011112020010211010
4300001113112022311301010
5210140300120110341400
62025103541052042220
762325461244534360
oct6001272612656104
91020715145203733
10211200020012100
1161327475361889
121b82bb8b463370
1390b00cbbbab82
143a221c7baa2a0
151963be5822450
hexc015d62b5c44

211200020012100 has 144 divisors (see below), whose sum is σ = 698373485986176. Its totient is φ = 48273915648000.

The previous prime is 211200020012087. The next prime is 211200020012101. The reversal of 211200020012100 is 1210020002112.

It is a super-2 number, since 2×2112000200121002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211200020012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341615260 + ... + 342232940.

It is an arithmetic number, because the mean of its divisors is an integer number (4849815874904).

Almost surely, 2211200020012100 is an apocalyptic number.

211200020012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200020012100 is an abundant number, since it is smaller than the sum of its proper divisors (487173465974076).

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

211200020012100 is a wasteful number, since it uses less digits than its factorization.

211200020012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780526 (or 780519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211200020012100 its reverse (1210020002112), we get a palindrome (212410040014212).

The spelling of 211200020012100 in words is "two hundred eleven trillion, two hundred billion, twenty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 162821 325642 488463 617681 651284 814105 976926 1139747 1235362 1628210 1853043 1953852 2279494 2442315 2470724 3088405 3256420 3419241 3706086 4070525 4323767 4558988 4884630 5698735 6176810 6838482 7412172 8141050 8647534 9265215 9769260 11397470 12211575 12353620 12971301 13676964 15442025 16282100 17096205 17295068 18530430 21618835 22794940 24423150 25942602 28493675 30884050 34192410 37060860 43237670 46326075 48846300 51885204 56987350 61768100 64856505 68384820 85481025 86475340 92652150 108094175 113974700 129713010 170962050 185304300 216188350 259426020 324282525 341924100 432376700 648565050 1297130100 100571438101 201142876202 301714314303 402285752404 502857190505 603428628606 704000066707 1005714381010 1206857257212 1408000133414 1508571571515 2011428762020 2112000200121 2514285952525 2816000266828 3017143143030 3520000333535 4224000400242 5028571905050 6034286286060 7040000667070 7542857857575 8448000800484 10057143810100 10560001000605 14080001334140 15085715715150 17600001667675 21120002001210 30171431430300 35200003335350 42240004002420 52800005003025 70400006670700 105600010006050 211200020012100