10003023312 has 160 divisors (see below), whose sum is σ = 28009100160. Its totient is φ = 3064627200.

The previous prime is 10003023269. The next prime is 10003023313. The reversal of 10003023312 is 21332030001.

It is a junction number, because it is equal to n+sod(n) for n = 10003023291 and 10003023300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003023313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8328312 + ... + 8329512.

It is an arithmetic number, because the mean of its divisors is an integer number (175056876).

Almost surely, 2^10003023312 is an apocalyptic number.

10003023312 is a gapful number since it is divisible by the number (12) 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 10003023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004550080).

10003023312 is an abundant number, since it is smaller than the sum of its proper divisors (18006076848).

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

10003023312 is a wasteful number, since it uses less digits than its factorization.

10003023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10003023312 its reverse (21332030001), we get a palindrome (31335053313).

The spelling of 10003023312 in words is "ten billion, three million, twenty-three thousand, three hundred twelve".