320312000200 has 24 divisors (see below), whose sum is σ = 744725400930. Its totient is φ = 128124800000.

The previous prime is 320312000191. The next prime is 320312000201. The reversal of 320312000200 is 2000213023.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 310808480004 + 9503520196 = 557502^2 + 97486^2 .

It is a super-3 number, since 3×320312000200³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (320312000201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 800779801 + ... + 800780200.

Almost surely, 2^320312000200 is an apocalyptic number.

It is an amenable number.

320312000200 is an abundant number, since it is smaller than the sum of its proper divisors (424413400730).

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

320312000200 is a wasteful number, since it uses less digits than its factorization.

320312000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601560017 (or 1601560008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 320312000200 its reverse (2000213023), we get a palindrome (322312213223).

The spelling of 320312000200 in words is "three hundred twenty billion, three hundred twelve million, two hundred", and thus it is an aban number.