30129372810 has 48 divisors (see below), whose sum is σ = 81037630440. Its totient is φ = 7757447040.

The previous prime is 30129372671. The next prime is 30129372817. The reversal of 30129372810 is 1827392103.

It can be written as a sum of positive squares in 4 ways, for example, as 18624879729 + 11504493081 = 136473^2 + 107259^2 .

It is a super-3 number, since 3×30129372810³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (30129372817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5769301 + ... + 5774520.

Almost surely, 2^30129372810 is an apocalyptic number.

30129372810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30129372810 is an abundant number, since it is smaller than the sum of its proper divisors (50908257630).

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

30129372810 is a wasteful number, since it uses less digits than its factorization.

30129372810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543863 (or 11543860 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30129372810 in words is "thirty billion, one hundred twenty-nine million, three hundred seventy-two thousand, eight hundred ten".