242111331 has 48 divisors (see below), whose sum is σ = 461680128. Its totient is φ = 118368000.

The previous prime is 242111329. The next prime is 242111341. The reversal of 242111331 is 133111242.

It is not a de Polignac number, because 242111331 - 2¹ = 242111329 is a prime.

It is a super-2 number, since 2×242111331² = 117235793197183122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242111341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506 + ... + 22056.

It is an arithmetic number, because the mean of its divisors is an integer number (9618336).

Almost surely, 2^242111331 is an apocalyptic number.

242111331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242111331 is a deficient number, since it is larger than the sum of its proper divisors (219568797).

242111331 is a wasteful number, since it uses less digits than its factorization.

242111331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20592 (or 20589 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 242111331 is about 15559.9270885181. The cubic root of 242111331 is about 623.2635156502.

Adding to 242111331 its reverse (133111242), we get a palindrome (375222573).

The spelling of 242111331 in words is "two hundred forty-two million, one hundred eleven thousand, three hundred thirty-one".