Search a number
-
+
2010010312200 = 233521110119115787
BaseRepresentation
bin11101001111111101111…
…100110101111000001000
321010011012002000101202210
4131033331330311320020
5230413000114442300
64135215212425120
7265134633516522
oct35177574657010
97104162011683
102010010312200
11705493469580
122856784781a0
1311770a422527
146d3dc138a12
1537441c26050
hex1d3fdf35e08

2010010312200 has 384 divisors, whose sum is σ = 6901169725440. Its totient is φ = 479894400000.

The previous prime is 2010010312159. The next prime is 2010010312207. The reversal of 2010010312200 is 22130100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2010010312207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127312707 + ... + 127328493.

It is an arithmetic number, because the mean of its divisors is an integer number (17971796160).

Almost surely, 22010010312200 is an apocalyptic number.

2010010312200 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 2010010312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450584862720).

2010010312200 is an abundant number, since it is smaller than the sum of its proper divisors (4891159413240).

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

2010010312200 is a wasteful number, since it uses less digits than its factorization.

2010010312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16109 (or 16100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2010010312200 its reverse (22130100102), we get a palindrome (2032140412302).

The spelling of 2010010312200 in words is "two trillion, ten billion, ten million, three hundred twelve thousand, two hundred".