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211200100121220 = 223572176723101823
BaseRepresentation
bin110000000001010111011010…
…111100011011101010000100
31000200210112101002222002212120
4300001113122330123222010
5210140300301112334340
62025103553033045540
762325463236463560
oct6001273274335204
91020715332862776
10211200100121220
11613275065a7a71
121b82bbb22568b0
1390b0112688b12
143a221d46a06a0
151963bec8984d0
hexc015daf1ba84

211200100121220 has 96 divisors (see below), whose sum is σ = 675871398494208. Its totient is φ = 48272088734592.

The previous prime is 211200100121203. The next prime is 211200100121243. The reversal of 211200100121220 is 22121001002112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211200100121220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408772 + ... + 20693051.

It is an arithmetic number, because the mean of its divisors is an integer number (7040327067648).

Almost surely, 2211200100121220 is an apocalyptic number.

211200100121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200100121220 is an abundant number, since it is smaller than the sum of its proper divisors (464671298372988).

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

211200100121220 is a wasteful number, since it uses less digits than its factorization.

211200100121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123609 (or 23123607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211200100121220 its reverse (22121001002112), we get a palindrome (233321101123332).

The spelling of 211200100121220 in words is "two hundred eleven trillion, two hundred billion, one hundred million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 21767 43534 65301 87068 108835 130602 152369 217670 261204 304738 326505 435340 457107 609476 653010 761845 914214 1306020 1523690 1828428 2285535 3047380 4571070 9142140 23101823 46203646 69305469 92407292 115509115 138610938 161712761 231018230 277221876 323425522 346527345 462036460 485138283 646851044 693054690 808563805 970276566 1386109380 1617127610 1940553132 2425691415 3234255220 4851382830 9702765660 502857381241 1005714762482 1508572143723 2011429524964 2514286906205 3017144287446 3520001668687 5028573812410 6034288574892 7040003337374 7542860718615 10057147624820 10560005006061 14080006674748 15085721437230 17600008343435 21120010012122 30171442874460 35200016686870 42240020024244 52800025030305 70400033373740 105600050060610 211200100121220