30100216320 has 960 divisors, whose sum is σ = 118764112896. Its totient is φ = 7007109120.

The previous prime is 30100216313. The next prime is 30100216411. The reversal of 30100216320 is 2361200103.

30100216320 is a `hidden beast` number, since 3 + 0 + 10 + 0 + 21 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30100216293 and 30100216302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449256927 + ... + 449256993.

Almost surely, 2^30100216320 is an apocalyptic number.

30100216320 is a gapful number since it is divisible by the number (30) 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 30100216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59382056448).

30100216320 is an abundant number, since it is smaller than the sum of its proper divisors (88663896576).

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

30100216320 is a wasteful number, since it uses less digits than its factorization.

30100216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30100216320 its reverse (2361200103), we get a palindrome (32461416423).

The spelling of 30100216320 in words is "thirty billion, one hundred million, two hundred sixteen thousand, three hundred twenty".