242322422100 has 288 divisors, whose sum is σ = 774603672192. Its totient is φ = 57999360000.

The previous prime is 242322422099. The next prime is 242322422141. The reversal of 242322422100 is 1224223242.

242322422100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 205183510 + ... + 205184690.

It is an arithmetic number, because the mean of its divisors is an integer number (2689596084).

Almost surely, 2^242322422100 is an apocalyptic number.

242322422100 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 242322422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387301836096).

242322422100 is an abundant number, since it is smaller than the sum of its proper divisors (532281250092).

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

242322422100 is a wasteful number, since it uses less digits than its factorization.

242322422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242322422100 its reverse (1224223242), we get a palindrome (243546645342).

The spelling of 242322422100 in words is "two hundred forty-two billion, three hundred twenty-two million, four hundred twenty-two thousand, one hundred".