Search a number
-
+
200021000001220 = 225313974918232011
BaseRepresentation
bin101101011110101100000100…
…101001110001011011000100
3222020012211011101211122121101
4231132230010221301123010
5202204121002000014340
61545224213500225444
760063016562346046
oct5536540451613304
9866184141748541
10200021000001220
115880747aa67062
121a5254b023b284
13877bb8cba43c8
1437570d4a57a96
15181d0129dbc9a
hexb5eb04a716c4

200021000001220 has 192 divisors, whose sum is σ = 436317499441152. Its totient is φ = 76943224512000.

The previous prime is 200021000001191. The next prime is 200021000001289. The reversal of 200021000001220 is 22100000120002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200021000001197 and 200021000001206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99463450015 + ... + 99463452025.

It is an arithmetic number, because the mean of its divisors is an integer number (2272486976256).

Almost surely, 2200021000001220 is an apocalyptic number.

200021000001220 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 200021000001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218158749720576).

200021000001220 is an abundant number, since it is smaller than the sum of its proper divisors (236296499439932).

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

200021000001220 is a wasteful number, since it uses less digits than its factorization.

200021000001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200021000001220 its reverse (22100000120002), we get a palindrome (222121000121222).

The spelling of 200021000001220 in words is "two hundred trillion, twenty-one billion, one thousand, two hundred twenty".