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201300200 = 23524389263
BaseRepresentation
bin10111111111110…
…01100011101000
3112000210002221222
423333321203220
5403013101300
631550321212
74663011023
oct1377714350
9460702858
10201300200
11a36a0902
12574b9208
133292105a
141ca401ba
1512a14785
hexbff98e8

201300200 has 96 divisors (see below), whose sum is σ = 486129600. Its totient is φ = 77468160.

The previous prime is 201300199. The next prime is 201300221. The reversal of 201300200 is 2003102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765269 + ... + 765531.

It is an arithmetic number, because the mean of its divisors is an integer number (5063850).

Almost surely, 2201300200 is an apocalyptic number.

201300200 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 201300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064800).

201300200 is an abundant number, since it is smaller than the sum of its proper divisors (284829400).

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

201300200 is a wasteful number, since it uses less digits than its factorization.

201300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 201300200 is about 14188.0301663057. The cubic root of 201300200 is about 586.0680806332.

Adding to 201300200 its reverse (2003102), we get a palindrome (203303302).

The spelling of 201300200 in words is "two hundred one million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 89 100 172 178 200 215 263 344 356 430 445 526 712 860 890 1052 1075 1315 1720 1780 2104 2150 2225 2630 3560 3827 4300 4450 5260 6575 7654 8600 8900 10520 11309 13150 15308 17800 19135 22618 23407 26300 30616 38270 45236 46814 52600 56545 76540 90472 93628 95675 113090 117035 153080 187256 191350 226180 234070 282725 382700 452360 468140 565450 585175 765400 936280 1006501 1130900 1170350 2013002 2261800 2340700 4026004 4681400 5032505 8052008 10065010 20130020 25162525 40260040 50325050 100650100 201300200