10322113200 has 240 divisors, whose sum is σ = 38216125440. Its totient is φ = 2332661760.

The previous prime is 10322113199. The next prime is 10322113201. The reversal of 10322113200 is 231122301.

It is an interprime number because it is at equal distance from previous prime (10322113199) and next prime (10322113201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10322113200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10322113200.

It is not an unprimeable number, because it can be changed into a prime (10322113201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 740697 + ... + 754503.

It is an arithmetic number, because the mean of its divisors is an integer number (159233856).

Almost surely, 2^10322113200 is an apocalyptic number.

10322113200 is a gapful number since it is divisible by the number (10) 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 10322113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108062720).

10322113200 is an abundant number, since it is smaller than the sum of its proper divisors (27894012240).

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

10322113200 is a wasteful number, since it uses less digits than its factorization.

10322113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10322113200 its reverse (231122301), we get a palindrome (10553235501).

The spelling of 10322113200 in words is "ten billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred".