10312032224 has 48 divisors (see below), whose sum is σ = 21946855392. Its totient is φ = 4741252608.

The previous prime is 10312032209. The next prime is 10312032233. The reversal of 10312032224 is 42223021301.

10312032224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10312032196 and 10312032205.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62282 + ... + 156534.

It is an arithmetic number, because the mean of its divisors is an integer number (457226154).

Almost surely, 2^10312032224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10973427696).

10312032224 is an abundant number, since it is smaller than the sum of its proper divisors (11634823168).

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

10312032224 is a wasteful number, since it uses less digits than its factorization.

10312032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94539 (or 94531 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10312032224 its reverse (42223021301), we get a palindrome (52535053525).

The spelling of 10312032224 in words is "ten billion, three hundred twelve million, thirty-two thousand, two hundred twenty-four".