242013303320100 has 144 divisors (see below), whose sum is σ = 754879921592832. Its totient is φ = 59509994019840.

The previous prime is 242013303320099. The next prime is 242013303320177. The reversal of 242013303320100 is 1023303310242.

242013303320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28840852 + ... + 36274251.

It is an arithmetic number, because the mean of its divisors is an integer number (5242221677728).

Almost surely, 2^{242013303320100} is an apocalyptic number.

242013303320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242013303320100 is an abundant number, since it is smaller than the sum of its proper divisors (512866618272732).

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

242013303320100 is a wasteful number, since it uses less digits than its factorization.

242013303320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65116086 (or 65116079 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 242013303320100 its reverse (1023303310242), we get a palindrome (243036606630342).

The spelling of 242013303320100 in words is "two hundred forty-two trillion, thirteen billion, three hundred three million, three hundred twenty thousand, one hundred".