214034130200 has 96 divisors (see below), whose sum is σ = 543492290160. Its totient is φ = 77741145600.

The previous prime is 214034130143. The next prime is 214034130209. The reversal of 214034130200 is 2031430412.

214034130200 is digitally balanced in base 2 and base 3, because in such bases 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214034130209) 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 23 ways as a sum of consecutive naturals, for example, 1873934 + ... + 1984866.

Almost surely, 2^214034130200 is an apocalyptic number.

214034130200 is a gapful number since it is divisible by the number (20) 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 214034130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271746145080).

214034130200 is an abundant number, since it is smaller than the sum of its proper divisors (329458159960).

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

214034130200 is a wasteful number, since it uses less digits than its factorization.

214034130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111837 (or 111828 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 214034130200 its reverse (2031430412), we get a palindrome (216065560612).

The spelling of 214034130200 in words is "two hundred fourteen billion, thirty-four million, one hundred thirty thousand, two hundred".