30431010000 has 200 divisors, whose sum is σ = 100094084640. Its totient is φ = 7961408000.

The previous prime is 30431009971. The next prime is 30431010007. The reversal of 30431010000 is 1013403.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30431010007) 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 39 ways as a sum of consecutive naturals, for example, 1580431 + ... + 1599569.

Almost surely, 2^30431010000 is an apocalyptic number.

30431010000 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 30431010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50047042320).

30431010000 is an abundant number, since it is smaller than the sum of its proper divisors (69663074640).

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

30431010000 is a wasteful number, since it uses less digits than its factorization.

30431010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223 (or 19202 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30431010000 its reverse (1013403), we get a palindrome (30432023403).

The spelling of 30431010000 in words is "thirty billion, four hundred thirty-one million, ten thousand".