30552047100 has 288 divisors, whose sum is σ = 99860275200. Its totient is φ = 8012390400.

The previous prime is 30552047047. The next prime is 30552047159. The reversal of 30552047100 is 174025503.

It is a happy number.

30552047100 is a `hidden beast` number, since 3 + 0 + 552 + 0 + 4 + 7 + 100 = 666.

It is a super-3 number, since 3×30552047100³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47662780 + ... + 47663420.

Almost surely, 2^30552047100 is an apocalyptic number.

30552047100 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 30552047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49930137600).

30552047100 is an abundant number, since it is smaller than the sum of its proper divisors (69308228100).

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

30552047100 is a wasteful number, since it uses less digits than its factorization.

30552047100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 30552047100 in words is "thirty billion, five hundred fifty-two million, forty-seven thousand, one hundred".