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2001212221100 = 2252173280341269
BaseRepresentation
bin11101000111110001100…
…010110010011010101100
321002022110220212001200212
4131013301202302122230
5230241440312033400
64131202203041552
7264403622133251
oct35076142623254
97068426761625
102001212221100
11701789144504
12283a21b102b8
13116937747371
146cc05881428
15370c962e335
hex1d1f18b26ac

2001212221100 has 72 divisors (see below), whose sum is σ = 4369396538640. Its totient is φ = 795554599680.

The previous prime is 2001212221061. The next prime is 2001212221121. The reversal of 2001212221100 is 11222121002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48471266 + ... + 48512534.

Almost surely, 22001212221100 is an apocalyptic number.

2001212221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001212221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184698269320).

2001212221100 is an abundant number, since it is smaller than the sum of its proper divisors (2368184317540).

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

2001212221100 is a wasteful number, since it uses less digits than its factorization.

2001212221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44259 (or 44252 counting only the distinct ones).

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

Adding to 2001212221100 its reverse (11222121002), we get a palindrome (2012434342102).

The spelling of 2001212221100 in words is "two trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 2803 3460 4325 5606 8650 11212 14015 17300 28030 41269 56060 70075 82538 140150 165076 206345 280300 412690 484919 825380 969838 1031725 1939676 2063450 2424595 4126900 4849190 7139537 9698380 12122975 14279074 24245950 28558148 35697685 48491900 71395370 115677007 142790740 178488425 231354014 356976850 462708028 578385035 713953700 1156770070 2313540140 2891925175 5783850350 11567700700 20012122211 40024244422 80048488844 100060611055 200121222110 400242444220 500303055275 1000606110550 2001212221100