Search a number
-
+
300012302330000 = 24541317826916417
BaseRepresentation
bin100010000110111000000111…
…0101101010110100010010000
31110100020220012011221200222222
41010031300032231112202100
5303310400143344030000
62542023425441520212
7120123113346526301
oct10415601655264220
91410226164850888
10300012302330000
11876585593a70a7
1229794489043068
13cb530670a1b20
14541295c6727a8
1524a401d8eda85
hex110dc0eb56890

300012302330000 has 400 divisors, whose sum is σ = 828397976479920. Its totient is φ = 104238710784000.

The previous prime is 300012302329951. The next prime is 300012302330053. The reversal of 300012302330000 is 33203210003.

It can be written as a sum of positive squares in 40 ways, for example, as 286673795925136 + 13338506404864 = 16931444^2 + 3652192^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18274481792 + ... + 18274498208.

Almost surely, 2300012302330000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300012302330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414198988239960).

300012302330000 is an abundant number, since it is smaller than the sum of its proper divisors (528385674149920).

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

300012302330000 is a wasteful number, since it uses less digits than its factorization.

300012302330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24744 (or 24723 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 300012302330000 its reverse (33203210003), we get a palindrome (300045505540003).

The spelling of 300012302330000 in words is "three hundred trillion, twelve billion, three hundred two million, three hundred thirty thousand".