201430142000320 has 112 divisors (see below), whose sum is σ = 481972226125248. Its totient is φ = 80183606906880.

The previous prime is 201430142000303. The next prime is 201430142000327. The reversal of 201430142000320 is 23000241034102.

It is a super-3 number, since 3×201430142000320³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201430142000291 and 201430142000300.

It is not an unprimeable number, because it can be changed into a prime (201430142000327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71570130 + ... + 74331310.

Almost surely, 2^{201430142000320} is an apocalyptic number.

201430142000320 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 201430142000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240986113062624).

201430142000320 is an abundant number, since it is smaller than the sum of its proper divisors (280542084124928).

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

201430142000320 is a wasteful number, since it uses less digits than its factorization.

201430142000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762298 (or 2762288 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 201430142000320 its reverse (23000241034102), we get a palindrome (224430383034422).

The spelling of 201430142000320 in words is "two hundred one trillion, four hundred thirty billion, one hundred forty-two million, three hundred twenty", and thus it is an aban number.