30144103220 has 108 divisors (see below), whose sum is σ = 80940972420. Its totient is φ = 9395527680.

The previous prime is 30144103219. The next prime is 30144103243. The reversal of 30144103220 is 2230144103.

It can be written as a sum of positive squares in 2 ways, for example, as 3194284324 + 26949818896 = 56518^2 + 164164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30144103192 and 30144103201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8525 + ... + 245684.

Almost surely, 2^30144103220 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 30144103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40470486210).

30144103220 is an abundant number, since it is smaller than the sum of its proper divisors (50796869200).

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

30144103220 is a wasteful number, since it uses less digits than its factorization.

30144103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254254 (or 254234 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30144103220 its reverse (2230144103), we get a palindrome (32374247323).

The spelling of 30144103220 in words is "thirty billion, one hundred forty-four million, one hundred three thousand, two hundred twenty".