242243210300 has 144 divisors (see below), whose sum is σ = 647255572992. Its totient is φ = 76632825600.

The previous prime is 242243210273. The next prime is 242243210311. The reversal of 242243210300 is 3012342242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29143145 + ... + 29151455.

It is an arithmetic number, because the mean of its divisors is an integer number (4494830368).

Almost surely, 2^242243210300 is an apocalyptic number.

242243210300 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 242243210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323627786496).

242243210300 is an abundant number, since it is smaller than the sum of its proper divisors (405012362692).

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

242243210300 is a wasteful number, since it uses less digits than its factorization.

242243210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548 (or 11541 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 242243210300 its reverse (3012342242), we get a palindrome (245255552542).

The spelling of 242243210300 in words is "two hundred forty-two billion, two hundred forty-three million, two hundred ten thousand, three hundred".