30200312320 has 160 divisors (see below), whose sum is σ = 79316463600. Its totient is φ = 10977017856.

The previous prime is 30200312287. The next prime is 30200312323. The reversal of 30200312320 is 2321300203.

It can be written as a sum of positive squares in 8 ways, for example, as 20602583296 + 9597729024 = 143536^2 + 97968^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×30200312320³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30200312294 and 30200312303.

It is not an unprimeable number, because it can be changed into a prime (30200312323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250116 + ... + 1274044.

Almost surely, 2^30200312320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30200312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39658231800).

30200312320 is an abundant number, since it is smaller than the sum of its proper divisors (49116151280).

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

30200312320 is a wasteful number, since it uses less digits than its factorization.

30200312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23998 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30200312320 its reverse (2321300203), we get a palindrome (32521612523).

The spelling of 30200312320 in words is "thirty billion, two hundred million, three hundred twelve thousand, three hundred twenty".