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21200220200220 = 2235443797600459
BaseRepresentation
bin1001101001000000011111…
…00110000001110100011100
32210001201110210111221112220
410310200033212001310130
510234321022332401340
6113031125142225340
74315444135264035
oct464401746016434
983051423457486
1021200220200220
116833a65683886
1224648b2a25250
13baa2313a9319
1453414bb05a8c
1526b6ee06aed0
hex13480f981d1c

21200220200220 has 48 divisors (see below), whose sum is σ = 59494613512320. Its totient is φ = 5640630438976.

The previous prime is 21200220200191. The next prime is 21200220200221. The reversal of 21200220200220 is 2200202200212.

It is a super-3 number, since 3×212002202002203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 21200220200220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200220200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398773650 + ... + 398826809.

It is an arithmetic number, because the mean of its divisors is an integer number (1239471114840).

Almost surely, 221200220200220 is an apocalyptic number.

21200220200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200220200220 is an abundant number, since it is smaller than the sum of its proper divisors (38294393312100).

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

21200220200220 is a wasteful number, since it uses less digits than its factorization.

21200220200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797600914 (or 797600912 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 21200220200220 its reverse (2200202200212), we get a palindrome (23400422400432).

The spelling of 21200220200220 in words is "twenty-one trillion, two hundred billion, two hundred twenty million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 443 886 1329 1772 2215 2658 4430 5316 6645 8860 13290 26580 797600459 1595200918 2392801377 3190401836 3988002295 4785602754 7976004590 9571205508 11964006885 15952009180 23928013770 47856027540 353337003337 706674006674 1060011010011 1413348013348 1766685016685 2120022020022 3533370033370 4240044040044 5300055050055 7066740066740 10600110100110 21200220200220