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21200220012200 = 2352419619408701
BaseRepresentation
bin1001101001000000011111…
…00101010011111010101000
32210001201110210011101122012
410310200033211103322220
510234321022310342300
6113031125134215052
74315444133551625
oct464401745237250
983051423141565
1021200220012200
116833a65565599
1224648b2954488
13baa231341878
1453414ba9734c
1526b6ee030435
hex13480f953ea8

21200220012200 has 96 divisors (see below), whose sum is σ = 49488090372000. Its totient is φ = 8446161504000.

The previous prime is 21200220012173. The next prime is 21200220012217. The reversal of 21200220012200 is 221002200212.

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, 51667850 + ... + 52076550.

It is an arithmetic number, because the mean of its divisors is an integer number (515500941375).

Almost surely, 221200220012200 is an apocalyptic number.

21200220012200 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 21200220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744045186000).

21200220012200 is an abundant number, since it is smaller than the sum of its proper divisors (28287870359800).

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

21200220012200 is a wasteful number, since it uses less digits than its factorization.

21200220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409755 (or 409746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21200220012200 its reverse (221002200212), we get a palindrome (21421222212412).

The spelling of 21200220012200 in words is "twenty-one trillion, two hundred billion, two hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 419 619 838 1238 1676 2095 2476 3095 3352 4190 4952 6190 8380 10475 12380 15475 16760 20950 24760 30950 41900 61900 83800 123800 259361 408701 518722 817402 1037444 1296805 1634804 2043505 2074888 2593610 3269608 4087010 5187220 6484025 8174020 10217525 10374440 12968050 16348040 20435050 25936100 40870100 51872200 81740200 171245719 252985919 342491438 505971838 684982876 856228595 1011943676 1264929595 1369965752 1712457190 2023887352 2529859190 3424914380 4281142975 5059718380 6324647975 6849828760 8562285950 10119436760 12649295950 17124571900 25298591900 34249143800 50597183800 106001100061 212002200122 424004400244 530005500305 848008800488 1060011000610 2120022001220 2650027501525 4240044002440 5300055003050 10600110006100 21200220012200