10024104241530 has 96 divisors (see below), whose sum is σ = 26538900540048. Its totient is φ = 2624412441600.

The previous prime is 10024104241493. The next prime is 10024104241549. The reversal of 10024104241530 is 3514240142001.

10024104241530 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 104 + 24 + 1 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98664489 + 10024005577041 = 9933^2 + 3166071^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10024104241494 and 10024104241503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282582 + ... + 4657598.

Almost surely, 2^{10024104241530} is an apocalyptic number.

10024104241530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024104241530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269450270024).

10024104241530 is an abundant number, since it is smaller than the sum of its proper divisors (16514796298518).

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

10024104241530 is a wasteful number, since it uses less digits than its factorization.

10024104241530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375632 (or 3375629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10024104241530 its reverse (3514240142001), we get a palindrome (13538344383531).

The spelling of 10024104241530 in words is "ten trillion, twenty-four billion, one hundred four million, two hundred forty-one thousand, five hundred thirty".