10231504128 has 216 divisors, whose sum is σ = 31568970888. Its totient is φ = 3175612416.

The previous prime is 10231504109. The next prime is 10231504147. The reversal of 10231504128 is 82140513201.

10231504128 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 504 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (10231504109) and next prime (10231504147).

It can be written as a sum of positive squares in 4 ways, for example, as 2096907264 + 8134596864 = 45792^2 + 90192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3797950 + ... + 3800642.

It is an arithmetic number, because the mean of its divisors is an integer number (146152643).

Almost surely, 2^10231504128 is an apocalyptic number.

10231504128 is a gapful number since it is divisible by the number (18) 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 10231504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784485444).

10231504128 is an abundant number, since it is smaller than the sum of its proper divisors (21337466760).

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

10231504128 is a wasteful number, since it uses less digits than its factorization.

10231504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10231504128 in words is "ten billion, two hundred thirty-one million, five hundred four thousand, one hundred twenty-eight".