30243142040100 has 2304 divisors, whose sum is σ = 116819723059200. Its totient is φ = 5936136192000.

The previous prime is 30243142040099. The next prime is 30243142040113. The reversal of 30243142040100 is 104024134203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35455031274 + ... + 35455032126.

It is an arithmetic number, because the mean of its divisors is an integer number (50703004800).

Almost surely, 2^{30243142040100} is an apocalyptic number.

30243142040100 is a gapful number since it is divisible by the number (30) 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 30243142040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58409861529600).

30243142040100 is an abundant number, since it is smaller than the sum of its proper divisors (86576581019100).

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

30243142040100 is a wasteful number, since it uses less digits than its factorization.

30243142040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30243142040100 its reverse (104024134203), we get a palindrome (30347166174303).

The spelling of 30243142040100 in words is "thirty trillion, two hundred forty-three billion, one hundred forty-two million, forty thousand, one hundred".