242133100404 has 96 divisors (see below), whose sum is σ = 614552762880. Its totient is φ = 73754610048.

The previous prime is 242133100403. The next prime is 242133100411. The reversal of 242133100404 is 404001331242.

It is a super-2 number, since 2×242133100404² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133100403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28756107 + ... + 28764525.

It is an arithmetic number, because the mean of its divisors is an integer number (6401591280).

Almost surely, 2^242133100404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242133100404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307276381440).

242133100404 is an abundant number, since it is smaller than the sum of its proper divisors (372419662476).

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

242133100404 is a wasteful number, since it uses less digits than its factorization.

242133100404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269 (or 10267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242133100404 its reverse (404001331242), we get a palindrome (646134431646).

The spelling of 242133100404 in words is "two hundred forty-two billion, one hundred thirty-three million, one hundred thousand, four hundred four".