30026180100 has 288 divisors, whose sum is σ = 101580998400. Its totient is φ = 6705653760.

The previous prime is 30026180083. The next prime is 30026180101. The reversal of 30026180100 is 108162003.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30026180101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38843314 + ... + 38844086.

It is an arithmetic number, because the mean of its divisors is an integer number (352711800).

Almost surely, 2^30026180100 is an apocalyptic number.

30026180100 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 30026180100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50790499200).

30026180100 is an abundant number, since it is smaller than the sum of its proper divisors (71554818300).

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

30026180100 is a wasteful number, since it uses less digits than its factorization.

30026180100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 30026180100 in words is "thirty billion, twenty-six million, one hundred eighty thousand, one hundred".