10314224200 has 96 divisors (see below), whose sum is σ = 27753580800. Its totient is φ = 3491504640.

The previous prime is 10314224191. The next prime is 10314224201. The reversal of 10314224200 is 242241301.

It is not an unprimeable number, because it can be changed into a prime (10314224201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63972 + ... + 157228.

It is an arithmetic number, because the mean of its divisors is an integer number (289099800).

Almost surely, 2^10314224200 is an apocalyptic number.

10314224200 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 10314224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876790400).

10314224200 is an abundant number, since it is smaller than the sum of its proper divisors (17439356600).

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

10314224200 is a wasteful number, since it uses less digits than its factorization.

10314224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93359 (or 93350 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10314224200 its reverse (242241301), we get a palindrome (10556465501).

The spelling of 10314224200 in words is "ten billion, three hundred fourteen million, two hundred twenty-four thousand, two hundred".