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210201220001220 = 223574153733155029
BaseRepresentation
bin101111110010110101001001…
…000011001010110111000100
31000120021001002102210110221120
4233302311021003022313010
5210022414044310014340
62023021035105313540
762163352120530030
oct5762651103126704
91016231072713846
10210201220001220
1160a81922835538
121b6aa4a33358b0
139039b75411886
1439c9b16c8d1c0
151947c395e34d0
hexbf2d490cadc4

210201220001220 has 384 divisors, whose sum is σ = 711668153226240. Its totient is φ = 45359711354880.

The previous prime is 210201220001161. The next prime is 210201220001221. The reversal of 210201220001220 is 22100022102012.

210201220001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 210201220001220.

It is not an unprimeable number, because it can be changed into a prime (210201220001221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65046666 + ... + 68201694.

It is an arithmetic number, because the mean of its divisors is an integer number (1853302482360).

Almost surely, 2210201220001220 is an apocalyptic number.

210201220001220 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 210201220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355834076613120).

210201220001220 is an abundant number, since it is smaller than the sum of its proper divisors (501466933225020).

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

210201220001220 is a wasteful number, since it uses less digits than its factorization.

210201220001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155215 (or 3155213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210201220001220 its reverse (22100022102012), we get a palindrome (232301242103232).

The spelling of 210201220001220 in words is "two hundred ten trillion, two hundred one billion, two hundred twenty million, one thousand, two hundred twenty".