217130000000 has 128 divisors (see below), whose sum is σ = 540728107920. Its totient is φ = 86848000000.

The previous prime is 217129999967. The next prime is 217130000069. The reversal of 217130000000 is 31712.

217130000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 211401326656 + 5728673344 = 459784^2 + 75688^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 217130000000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9989144 + ... + 10010856.

Almost surely, 2^217130000000 is an apocalyptic number.

217130000000 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 217130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270364053960).

217130000000 is an abundant number, since it is smaller than the sum of its proper divisors (323598107920).

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

217130000000 is an frugal number, since it uses more digits than its factorization.

217130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21762 (or 21720 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

Adding to 217130000000 its reverse (31712), we get a palindrome (217130031712).

The spelling of 217130000000 in words is "two hundred seventeen billion, one hundred thirty million", and thus it is an aban number.