242033242100 has 36 divisors (see below), whose sum is σ = 565613071884. Its totient is φ = 89366119680.

The previous prime is 242033242093. The next prime is 242033242133. The reversal of 242033242100 is 1242330242.

It can be written as a sum of positive squares in 6 ways, for example, as 27943802896 + 214089439204 = 167164^2 + 462698^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93088409 + ... + 93091008.

It is an arithmetic number, because the mean of its divisors is an integer number (15711474219).

Almost surely, 2^242033242100 is an apocalyptic number.

242033242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242033242100 is an abundant number, since it is smaller than the sum of its proper divisors (323579829784).

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

242033242100 is a wasteful number, since it uses less digits than its factorization.

242033242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186179444 (or 186179437 counting only the distinct ones).

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

Adding to 242033242100 its reverse (1242330242), we get a palindrome (243275572342).

The spelling of 242033242100 in words is "two hundred forty-two billion, thirty-three million, two hundred forty-two thousand, one hundred".