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21200002212200 = 2352783182444081
BaseRepresentation
bin1001101001000000000101…
…00110011110000101101000
32210001200220121100000012112
410310200002212132011220
510234320101031242300
6113031051354101452
74315435550360330
oct464400246360550
983050817300175
1021200002212200
116833963625199
122464851a1a888
13baa1c8194626
1453412aba00c0
1526b6d9d5be35
hex13480299e168

21200002212200 has 96 divisors (see below), whose sum is σ = 57010126743360. Its totient is φ = 7180998988800.

The previous prime is 21200002212199. The next prime is 21200002212209. The reversal of 21200002212200 is 221220000212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21200002212209) by changing a digit.

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, 91105841 + ... + 91338240.

It is an arithmetic number, because the mean of its divisors is an integer number (593855486910).

Almost surely, 221200002212200 is an apocalyptic number.

21200002212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200002212200 is an abundant number, since it is smaller than the sum of its proper divisors (35810124531160).

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

21200002212200 is a wasteful number, since it uses less digits than its factorization.

21200002212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182444187 (or 182444178 counting only the distinct ones).

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

Adding to 21200002212200 its reverse (221220000212), we get a palindrome (21421222212412).

The spelling of 21200002212200 in words is "twenty-one trillion, two hundred billion, two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 140 166 175 200 280 332 350 415 581 664 700 830 1162 1400 1660 2075 2324 2905 3320 4150 4648 5810 8300 11620 14525 16600 23240 29050 58100 116200 182444081 364888162 729776324 912220405 1277108567 1459552648 1824440810 2554217134 3648881620 4561102025 5108434268 6385542835 7297763240 9122204050 10216868536 12771085670 15142858723 18244408100 25542171340 30285717446 31927714175 36488816200 51084342680 60571434892 63855428350 75714293615 106000011061 121142869784 127710856700 151428587230 212000022122 255421713400 302857174460 378571468075 424000044244 530000055305 605714348920 757142936150 848000088488 1060000110610 1514285872300 2120000221220 2650000276525 3028571744600 4240000442440 5300000553050 10600001106100 21200002212200