30319290000 has 600 divisors, whose sum is σ = 112521881472. Its totient is φ = 7603200000.

The previous prime is 30319289983. The next prime is 30319290007. The reversal of 30319290000 is 9291303.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×30319290000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30319290007) 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 119 ways as a sum of consecutive naturals, for example, 200789925 + ... + 200790075.

Almost surely, 2^30319290000 is an apocalyptic number.

30319290000 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 30319290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260940736).

30319290000 is an abundant number, since it is smaller than the sum of its proper divisors (82202591472).

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

30319290000 is a wasteful number, since it uses less digits than its factorization.

30319290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 30319290000 in words is "thirty billion, three hundred nineteen million, two hundred ninety thousand".