10030000032 has 144 divisors (see below), whose sum is σ = 31370976000. Its totient is φ = 3020438016.

The previous prime is 10029999977. The next prime is 10030000033. The reversal of 10030000032 is 23000003001.

It is a happy number.

10030000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10029999969 and 10030000023.

It is not an unprimeable number, because it can be changed into a prime (10030000033) 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, 147469 + ... + 204467.

It is an arithmetic number, because the mean of its divisors is an integer number (217854000).

Almost surely, 2^10030000032 is an apocalyptic number.

10030000032 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 10030000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488000).

10030000032 is an abundant number, since it is smaller than the sum of its proper divisors (21340975968).

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

10030000032 is a wasteful number, since it uses less digits than its factorization.

10030000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57075 (or 57064 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10030000032 its reverse (23000003001), we get a palindrome (33030003033).

The spelling of 10030000032 in words is "ten billion, thirty million, thirty-two", and thus it is an aban number and an uban number.