30011100 has 144 divisors (see below), whose sum is σ = 102660096. Its totient is φ = 6624000.

The previous prime is 30011077. The next prime is 30011101. The reversal of 30011100 is 111003.

It is a super-2 number, since 2×30011100² = 1801332246420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64870 + ... + 65330.

Almost surely, 2^30011100 is an apocalyptic number.

30011100 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 30011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330048).

30011100 is an abundant number, since it is smaller than the sum of its proper divisors (72648996).

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

30011100 is a wasteful number, since it uses less digits than its factorization.

30011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 30011100 is about 5478.2387680714. The cubic root of 30011100 is about 310.7615684042.

Adding to 30011100 its reverse (111003), we get a palindrome (30122103).

The spelling of 30011100 in words is "thirty million, eleven thousand, one hundred".