10243300461030 has 768 divisors, whose sum is σ = 35443749519360. Its totient is φ = 1992829132800.

The previous prime is 10243300461011. The next prime is 10243300461089. The reversal of 10243300461030 is 3016400334201.

10243300461030 is a `hidden beast` number, since 1 + 0 + 2 + 43 + 3 + 0 + 0 + 4 + 610 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10243300460985 and 10243300461003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1570814170 + ... + 1570820690.

It is an arithmetic number, because the mean of its divisors is an integer number (46150715520).

Almost surely, 2^{10243300461030} is an apocalyptic number.

10243300461030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243300461030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721874759680).

10243300461030 is an abundant number, since it is smaller than the sum of its proper divisors (25200449058330).

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

10243300461030 is a wasteful number, since it uses less digits than its factorization.

10243300461030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10243300461030 its reverse (3016400334201), we get a palindrome (13259700795231).

The spelling of 10243300461030 in words is "ten trillion, two hundred forty-three billion, three hundred million, four hundred sixty-one thousand, thirty".