30633008828100 has 576 divisors, whose sum is σ = 106512756080640. Its totient is φ = 6650632396800.

The previous prime is 30633008828057. The next prime is 30633008828111. The reversal of 30633008828100 is 182880033603.

It is a super-2 number, since 2×30633008828100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 757678686 + ... + 757719114.

Almost surely, 2^{30633008828100} is an apocalyptic number.

30633008828100 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 30633008828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53256378040320).

30633008828100 is an abundant number, since it is smaller than the sum of its proper divisors (75879747252540).

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

30633008828100 is a wasteful number, since it uses less digits than its factorization.

30633008828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40700 (or 40693 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 30633008828100 in words is "thirty trillion, six hundred thirty-three billion, eight million, eight hundred twenty-eight thousand, one hundred".