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22111320200000 = 26558911310993
BaseRepresentation
bin1010000011100001100010…
…11000101101001101000000
32220021211011220220102221012
411001300301120231031000
510344232440432400000
6115005444505220052
74441330061432003
oct501606130551500
986254156812835
1022111320200000
1170553a38a2809
1225913a4491628
13c4511c703425
1456629d38d53a
15285275cdb735
hex141c3162d340

22111320200000 has 336 divisors, whose sum is σ = 55955019743280. Its totient is φ = 8666972160000.

The previous prime is 22111320199999. The next prime is 22111320200029. The reversal of 22111320200000 is 202311122.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 5882798000704 + 16228522199296 = 2425448^2 + 4028464^2 .

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 47 ways as a sum of consecutive naturals, for example, 2011394504 + ... + 2011405496.

It is an arithmetic number, because the mean of its divisors is an integer number (166532796855).

Almost surely, 222111320200000 is an apocalyptic number.

22111320200000 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 22111320200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27977509871640).

22111320200000 is an abundant number, since it is smaller than the sum of its proper divisors (33843699543280).

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

22111320200000 is an equidigital number, since it uses as much as digits as its factorization.

22111320200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22111320200000 its reverse (202311122), we get a palindrome (22111522511122).

The spelling of 22111320200000 in words is "twenty-two trillion, one hundred eleven billion, three hundred twenty million, two hundred thousand".