10014244200 has 288 divisors, whose sum is σ = 34758266400. Its totient is φ = 2582254080.

The previous prime is 10014244193. The next prime is 10014244217. The reversal of 10014244200 is 244241001.

10014244200 is a `hidden beast` number, since 100 + 142 + 4 + 420 + 0 = 666.

10014244200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8436007 + ... + 8437193.

It is an arithmetic number, because the mean of its divisors is an integer number (120688425).

Almost surely, 2^10014244200 is an apocalyptic number.

10014244200 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 10014244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379133200).

10014244200 is an abundant number, since it is smaller than the sum of its proper divisors (24744022200).

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

10014244200 is a wasteful number, since it uses less digits than its factorization.

10014244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10014244200 its reverse (244241001), we get a palindrome (10258485201).

The spelling of 10014244200 in words is "ten billion, fourteen million, two hundred forty-four thousand, two hundred".