Search a number
-
+
2010120202200 = 23352116117927893
BaseRepresentation
bin11101010000000100100…
…000000010011111011000
321010011110201210101111210
4131100010200002133120
5230413211232432300
64135234140023120
7265140436542525
oct35200440023730
97104421711453
102010120202200
1170553a4a5560
122856a9231aa0
131177271197b6
146d40c98214c
153744b6d1050
hex1d4048027d8

2010120202200 has 384 divisors, whose sum is σ = 6948149932800. Its totient is φ = 476618496000.

The previous prime is 2010120202193. The next prime is 2010120202219. The reversal of 2010120202200 is 22020210102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72051454 + ... + 72079346.

It is an arithmetic number, because the mean of its divisors is an integer number (18094140450).

Almost surely, 22010120202200 is an apocalyptic number.

2010120202200 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 2010120202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474074966400).

2010120202200 is an abundant number, since it is smaller than the sum of its proper divisors (4938029730600).

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

2010120202200 is a wasteful number, since it uses less digits than its factorization.

2010120202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28163 (or 28154 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2010120202200 its reverse (22020210102), we get a palindrome (2032140412302).

The spelling of 2010120202200 in words is "two trillion, ten billion, one hundred twenty million, two hundred two thousand, two hundred".