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21200012200000 = 2655251422311
BaseRepresentation
bin1001101001000000000110…
…01100100100100001000000
32210001200221022010102220001
410310200003030210201000
510234320111110400000
6113031052352125344
74315436031306304
oct464400314444100
983050838112801
1021200012200000
116833969227177
122464855236854
13baa1ca28077a
1453412c23dd04
1526b6dab8146a
hex134803324840

21200012200000 has 168 divisors, whose sum is σ = 52792219706688. Its totient is φ = 8446200000000.

The previous prime is 21200012199997. The next prime is 21200012200001. The reversal of 21200012200000 is 221000212.

It is a super-3 number, since 3×212000122000003 (a number of 41 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21200012200000.

It is not an unprimeable number, because it can be changed into a prime (21200012200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49988845 + ... + 50411155.

It is an arithmetic number, because the mean of its divisors is an integer number (314239403016).

Almost surely, 221200012200000 is an apocalyptic number.

21200012200000 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 21200012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26396109853344).

21200012200000 is an abundant number, since it is smaller than the sum of its proper divisors (31592207506688).

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

21200012200000 is an frugal number, since it uses more digits than its factorization.

21200012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422599 (or 422569 counting only the distinct ones).

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

Adding to 21200012200000 its reverse (221000212), we get a palindrome (21200233200212).

The spelling of 21200012200000 in words is "twenty-one trillion, two hundred billion, twelve million, two hundred thousand".