30114041100 has 288 divisors, whose sum is σ = 103900183296. Its totient is φ = 6637593600.

The previous prime is 30114041099. The next prime is 30114041101. The reversal of 30114041100 is 114041103.

It is an interprime number because it is at equal distance from previous prime (30114041099) and next prime (30114041101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30114041100.

It is not an unprimeable number, because it can be changed into a prime (30114041101) 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, 2869062 + ... + 2879538.

Almost surely, 2^30114041100 is an apocalyptic number.

30114041100 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 30114041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51950091648).

30114041100 is an abundant number, since it is smaller than the sum of its proper divisors (73786142196).

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

30114041100 is a wasteful number, since it uses less digits than its factorization.

30114041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 30114041100 its reverse (114041103), we get a palindrome (30228082203).

The spelling of 30114041100 in words is "thirty billion, one hundred fourteen million, forty-one thousand, one hundred".