242103112032300 has 144 divisors (see below), whose sum is σ = 702800802869760. Its totient is φ = 64347735778560.

The previous prime is 242103112032227. The next prime is 242103112032311. The reversal of 242103112032300 is 3230211301242.

It is a super-2 number, since 2×242103112032300² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 111738054 + ... + 113884146.

It is an arithmetic number, because the mean of its divisors is an integer number (4880561131040).

Almost surely, 2^{242103112032300} is an apocalyptic number.

242103112032300 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 242103112032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351400401434880).

242103112032300 is an abundant number, since it is smaller than the sum of its proper divisors (460697690837460).

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

242103112032300 is a wasteful number, since it uses less digits than its factorization.

242103112032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147352 (or 2147345 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 242103112032300 its reverse (3230211301242), we get a palindrome (245333323333542).

The spelling of 242103112032300 in words is "two hundred forty-two trillion, one hundred three billion, one hundred twelve million, thirty-two thousand, three hundred".