241030105031020 has 144 divisors (see below), whose sum is σ = 525435673482720. Its totient is φ = 92871175864320.

The previous prime is 241030105030999. The next prime is 241030105031029. The reversal of 241030105031020 is 20130501030142.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 241030105030982 and 241030105031000.

It is not an unprimeable number, because it can be changed into a prime (241030105031029) 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, 7058585587 + ... + 7058619733.

It is an arithmetic number, because the mean of its divisors is an integer number (3648858843630).

Almost surely, 2^{241030105031020} is an apocalyptic number.

241030105031020 is a gapful number since it is divisible by the number (20) 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 241030105031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262717836741360).

241030105031020 is an abundant number, since it is smaller than the sum of its proper divisors (284405568451700).

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

241030105031020 is a wasteful number, since it uses less digits than its factorization.

241030105031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35904 (or 35871 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 241030105031020 its reverse (20130501030142), we get a palindrome (261160606061162).

The spelling of 241030105031020 in words is "two hundred forty-one trillion, thirty billion, one hundred five million, thirty-one thousand, twenty".