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221101330200 = 2335217294317383
BaseRepresentation
bin1100110111101010101…
…0101000111100011000
3210010200221011022202120
43031322222220330120
512110303420031300
6245323400501240
721655045204062
oct3157252507430
9703627138676
10221101330200
118584aa33973
1236a2647a820
1317b07c2208a
14a9b6770732
155b40c3a3a0
hex337aaa8f18

221101330200 has 384 divisors, whose sum is σ = 768261542400. Its totient is φ = 52329553920.

The previous prime is 221101330189. The next prime is 221101330213. The reversal of 221101330200 is 2033101122.

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 221101330200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12710709 + ... + 12728091.

It is an arithmetic number, because the mean of its divisors is an integer number (2000681100).

Almost surely, 2221101330200 is an apocalyptic number.

221101330200 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 221101330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384130771200).

221101330200 is an abundant number, since it is smaller than the sum of its proper divisors (547160212200).

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

221101330200 is a wasteful number, since it uses less digits than its factorization.

221101330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17491 (or 17482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221101330200 its reverse (2033101122), we get a palindrome (223134431322).

The spelling of 221101330200 in words is "two hundred twenty-one billion, one hundred one million, three hundred thirty thousand, two hundred".