Search a number
-
+
2012031030000 = 243541923167919
BaseRepresentation
bin11101010001110110011…
…001010001001011110000
321010100101220100111110210
4131101312121101023300
5230431114420430000
64140151515424120
7265236001400205
oct35216631211360
97110356314423
102012031030000
11706330076792
12285b41155040
1311796cc71934
146d550667cac
153750e32c350
hex1d4766512f0

2012031030000 has 800 divisors, whose sum is σ = 7184740147200. Its totient is φ = 482765184000.

The previous prime is 2012031029951. The next prime is 2012031030011. The reversal of 2012031030000 is 301302102.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 2189369541 + ... + 2189370459.

It is an arithmetic number, because the mean of its divisors is an integer number (8980925184).

Almost surely, 22012031030000 is an apocalyptic number.

2012031030000 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 2012031030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592370073600).

2012031030000 is an abundant number, since it is smaller than the sum of its proper divisors (5172709117200).

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

2012031030000 is a wasteful number, since it uses less digits than its factorization.

2012031030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2012031030000 its reverse (301302102), we get a palindrome (2012332332102).

The spelling of 2012031030000 in words is "two trillion, twelve billion, thirty-one million, thirty thousand".