30141302016 has 288 divisors, whose sum is σ = 97907927040. Its totient is φ = 8044388352.

The previous prime is 30141301991. The next prime is 30141302041. The reversal of 30141302016 is 61020314103.

It is an interprime number because it is at equal distance from previous prime (30141301991) and next prime (30141302041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30141301983 and 30141302001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5314030 + ... + 5319698.

It is an arithmetic number, because the mean of its divisors is an integer number (339958080).

Almost surely, 2^30141302016 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 30141302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48953963520).

30141302016 is an abundant number, since it is smaller than the sum of its proper divisors (67766625024).

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

30141302016 is a wasteful number, since it uses less digits than its factorization.

30141302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 30141302016 its reverse (61020314103), we get a palindrome (91161616119).

The spelling of 30141302016 in words is "thirty billion, one hundred forty-one million, three hundred two thousand, sixteen".