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210214010230200 = 233552311913312207
BaseRepresentation
bin101111110011000001000011…
…011010000001010110111000
31000120022021002210212102200000
4233303001003122001112320
5210023121243104331300
62023030552204313000
762164314065633244
oct5763010332012670
91016267083772600
10210214010230200
1160a87296563909
121b6b0a72842760
13903b1331b79c2
1439ca5ab811424
15194823740ac00
hexbf30436815b8

210214010230200 has 1152 divisors, whose sum is σ = 762329447792640. Its totient is φ = 53777338560000.

The previous prime is 210214010230123. The next prime is 210214010230327. The reversal of 210214010230200 is 2032010412012.

It is a happy number.

210214010230200 is a `hidden beast` number, since 2 + 10 + 2 + 1 + 401 + 0 + 230 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95248757497 + ... + 95248759703.

It is an arithmetic number, because the mean of its divisors is an integer number (661744312320).

Almost surely, 2210214010230200 is an apocalyptic number.

210214010230200 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 210214010230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381164723896320).

210214010230200 is an abundant number, since it is smaller than the sum of its proper divisors (552115437562440).

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

210214010230200 is a wasteful number, since it uses less digits than its factorization.

210214010230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210214010230200 its reverse (2032010412012), we get a palindrome (212246020642212).

The spelling of 210214010230200 in words is "two hundred ten trillion, two hundred fourteen billion, ten million, two hundred thirty thousand, two hundred".