242110313016 has 128 divisors (see below), whose sum is σ = 712463351040. Its totient is φ = 67592678400.

The previous prime is 242110312973. The next prime is 242110313021. The reversal of 242110313016 is 610313011242.

It is a happy number.

242110313016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1720371 + ... + 1855773.

It is an arithmetic number, because the mean of its divisors is an integer number (5566119930).

Almost surely, 2^242110313016 is an apocalyptic number.

242110313016 is a gapful number since it is divisible by the number (26) 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 242110313016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356231675520).

242110313016 is an abundant number, since it is smaller than the sum of its proper divisors (470353038024).

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

242110313016 is a wasteful number, since it uses less digits than its factorization.

242110313016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135957 (or 135953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 242110313016 its reverse (610313011242), we get a palindrome (852423324258).

The spelling of 242110313016 in words is "two hundred forty-two billion, one hundred ten million, three hundred thirteen thousand, sixteen".