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21200010002200 = 23524710721077759
BaseRepresentation
bin1001101001000000000110…
…00100001011111100011000
32210001200221010222210002001
410310200003010023330120
510234320110030032300
6113031052233050344
74315436003523601
oct464400304137430
983050833883061
1021200010002200
116833967a65a07
1224648545569b4
13baa1c99912b3
1453412bc2ada8
1526b6da89a16a
hex13480310bf18

21200010002200 has 96 divisors (see below), whose sum is σ = 50809205145600. Its totient is φ = 8222011840640.

The previous prime is 21200010002173. The next prime is 21200010002251. The reversal of 21200010002200 is 220001000212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9533080 + ... + 11544679.

It is an arithmetic number, because the mean of its divisors is an integer number (529262553600).

Almost surely, 221200010002200 is an apocalyptic number.

21200010002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200010002200 is an abundant number, since it is smaller than the sum of its proper divisors (29609195143400).

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

21200010002200 is a wasteful number, since it uses less digits than its factorization.

21200010002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21077929 (or 21077920 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21200010002200 its reverse (220001000212), we get a palindrome (21420011002412).

The spelling of 21200010002200 in words is "twenty-one trillion, two hundred billion, ten million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 107 188 200 214 235 376 428 470 535 856 940 1070 1175 1880 2140 2350 2675 4280 4700 5029 5350 9400 10058 10700 20116 21400 25145 40232 50290 100580 125725 201160 251450 502900 1005800 21077759 42155518 84311036 105388795 168622072 210777590 421555180 526943975 843110360 990654673 1053887950 1981309346 2107775900 2255320213 3962618692 4215551800 4510640426 4953273365 7925237384 9021280852 9906546730 11276601065 18042561704 19813093460 22553202130 24766366825 39626186920 45106404260 49532733650 56383005325 90212808520 99065467300 106000050011 112766010650 198130934600 212000100022 225532021300 424000200044 451064042600 530000250055 848000400088 1060000500110 2120001000220 2650001250275 4240002000440 5300002500550 10600005001100 21200010002200