Search a number
-
+
2012231100000 = 25355111967479
BaseRepresentation
bin11101010010000010010…
…100011110011001100000
321010100220211211002220210
4131102002110132121200
5230432022130200000
64140223423534120
7265243651065522
oct35220224363140
97110824732823
102012231100000
11706422aa72a0
12285b9815a340
131179a2551a54
146d56d067a12
1537521b9c350
hex1d48251e660

2012231100000 has 1152 divisors, whose sum is σ = 7710706483200. Its totient is φ = 454291200000.

The previous prime is 2012231099929. The next prime is 2012231100007. The reversal of 2012231100000 is 11322102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012231100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4200899761 + ... + 4200900239.

It is an arithmetic number, because the mean of its divisors is an integer number (6693321600).

Almost surely, 22012231100000 is an apocalyptic number.

2012231100000 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 2012231100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855353241600).

2012231100000 is an abundant number, since it is smaller than the sum of its proper divisors (5698475383200).

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

2012231100000 is a wasteful number, since it uses less digits than its factorization.

2012231100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 586 counting only the distinct ones).

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

Adding to 2012231100000 its reverse (11322102), we get a palindrome (2012242422102).

The spelling of 2012231100000 in words is "two trillion, twelve billion, two hundred thirty-one million, one hundred thousand".