Search a number
-
+
2012010200200 = 23527111325913103
BaseRepresentation
bin11101010001110101001…
…001110011110010001000
321010100100110011020100201
4131101311021303302020
5230431044102401300
64140145453141544
7265235326344010
oct35216511636210
97110313136321
102012010200200
1170631a339a80
12285b3618a8b4
1311796885a900
146d54b9a4c40
153750c5b566a
hex1d475273c88

2012010200200 has 576 divisors, whose sum is σ = 6422888908800. Its totient is φ = 569025100800.

The previous prime is 2012010200191. The next prime is 2012010200237. The reversal of 2012010200200 is 20020102102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153546849 + ... + 153559951.

It is an arithmetic number, because the mean of its divisors is an integer number (11150848800).

Almost surely, 22012010200200 is an apocalyptic number.

2012010200200 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 2012010200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211444454400).

2012010200200 is an abundant number, since it is smaller than the sum of its proper divisors (4410878708600).

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

2012010200200 is a wasteful number, since it uses less digits than its factorization.

2012010200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13222 (or 13200 counting only the distinct ones).

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

Adding to 2012010200200 its reverse (20020102102), we get a palindrome (2032030302302).

The spelling of 2012010200200 in words is "two trillion, twelve billion, ten million, two hundred thousand, two hundred".