Search a number
-
+
201110220200 = 23525961327803
BaseRepresentation
bin1011101101001100011…
…0100110110110101000
3201020002201100201022002
42323103012212312220
511243333204021300
6232215545550132
720346461444411
oct2732306466650
9636081321262
10201110220200
117832152705a
1232b874a5348
1315c7033a9c6
149a3b720808
155370b785d5
hex2ed31a6da8

201110220200 has 96 divisors (see below), whose sum is σ = 476299202400. Its totient is φ = 78948783360.

The previous prime is 201110220169. The next prime is 201110220203. The reversal of 201110220200 is 2022011102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201110220203) 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, 7219499 + ... + 7247301.

It is an arithmetic number, because the mean of its divisors is an integer number (4961450025).

Almost surely, 2201110220200 is an apocalyptic number.

201110220200 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 201110220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238149601200).

201110220200 is an abundant number, since it is smaller than the sum of its proper divisors (275188982200).

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

201110220200 is a wasteful number, since it uses less digits than its factorization.

201110220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28491 (or 28482 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201110220200 its reverse (2022011102), we get a palindrome (203132231302).

It can be divided in two parts, 2011102 and 20200, that added together give a palindrome (2031302).

The spelling of 201110220200 in words is "two hundred one billion, one hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 613 1180 1226 1475 2360 2452 2950 3065 4904 5900 6130 11800 12260 15325 24520 27803 30650 36167 55606 61300 72334 111212 122600 139015 144668 180835 222424 278030 289336 361670 556060 695075 723340 904175 1112120 1390150 1446680 1640377 1808350 2780300 3280754 3616700 5560600 6561508 7233400 8201885 13123016 16403770 17043239 32807540 34086478 41009425 65615080 68172956 82018850 85216195 136345912 164037700 170432390 328075400 340864780 426080975 681729560 852161950 1005551101 1704323900 2011102202 3408647800 4022204404 5027755505 8044408808 10055511010 20111022020 25138777525 40222044040 50277555050 100555110100 201110220200