10137424241 has 24 divisors (see below), whose sum is σ = 12538249416. Its totient is φ = 8143994880.

The previous prime is 10137424211. The next prime is 10137424267. The reversal of 10137424241 is 14242473101.

10137424241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1947898225 + 8189526016 = 44135^2 + 90496^2 .

It is not a de Polignac number, because 10137424241 - 2¹⁰ = 10137423217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10137424201) 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 23 ways as a sum of consecutive naturals, for example, 175505 + ... + 226001.

It is an arithmetic number, because the mean of its divisors is an integer number (522427059).

Almost surely, 2^10137424241 is an apocalyptic number.

It is an amenable number.

10137424241 is a deficient number, since it is larger than the sum of its proper divisors (2400825175).

10137424241 is a wasteful number, since it uses less digits than its factorization.

10137424241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50769 (or 50762 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 10137424241 its reverse (14242473101), we get a palindrome (24379897342).

The spelling of 10137424241 in words is "ten billion, one hundred thirty-seven million, four hundred twenty-four thousand, two hundred forty-one".