10211304432 has 120 divisors (see below), whose sum is σ = 30723069312. Its totient is φ = 2913993600.

The previous prime is 10211304401. The next prime is 10211304449. The reversal of 10211304432 is 23440311201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10211304399 and 10211304408.

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, 2422807 + ... + 2427017.

Almost surely, 2^10211304432 is an apocalyptic number.

10211304432 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 10211304432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361534656).

10211304432 is an abundant number, since it is smaller than the sum of its proper divisors (20511764880).

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

10211304432 is a wasteful number, since it uses less digits than its factorization.

10211304432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10211304432 its reverse (23440311201), we get a palindrome (33651615633).

The spelling of 10211304432 in words is "ten billion, two hundred eleven million, three hundred four thousand, four hundred thirty-two".