11310310242 has 288 divisors, whose sum is σ = 32747457600. Its totient is φ = 2785708800.

The previous prime is 11310310241. The next prime is 11310310279. The reversal of 11310310242 is 24201301311.

11310310242 is a `hidden beast` number, since 1 + 1 + 310 + 310 + 2 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11310310241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17162509 + ... + 17163167.

It is an arithmetic number, because the mean of its divisors is an integer number (113706450).

Almost surely, 2^11310310242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310310242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373728800).

11310310242 is an abundant number, since it is smaller than the sum of its proper divisors (21437147358).

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

11310310242 is a wasteful number, since it uses less digits than its factorization.

11310310242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

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

Adding to 11310310242 its reverse (24201301311), we get a palindrome (35511611553).

The spelling of 11310310242 in words is "eleven billion, three hundred ten million, three hundred ten thousand, two hundred forty-two".