10200312032 has 72 divisors (see below), whose sum is σ = 21415284576. Its totient is φ = 4781389824.

The previous prime is 10200312011. The next prime is 10200312049. The reversal of 10200312032 is 23021300201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10200311998 and 10200312016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1115993 + ... + 1125095.

It is an arithmetic number, because the mean of its divisors is an integer number (297434508).

Almost surely, 2^10200312032 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 10200312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707642288).

10200312032 is an abundant number, since it is smaller than the sum of its proper divisors (11214972544).

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

10200312032 is an equidigital number, since it uses as much as digits as its factorization.

10200312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10200312032 its reverse (23021300201), we get a palindrome (33221612233).

The spelling of 10200312032 in words is "ten billion, two hundred million, three hundred twelve thousand, thirty-two".