211130800 has 120 divisors (see below), whose sum is σ = 540527904. Its totient is φ = 79073280.

The previous prime is 211130791. The next prime is 211130807. The reversal of 211130800 is 8031112.

211130800 = T₂₁₉ + T₂₂₀ + ... + T₁₀₈₄.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211130807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487384 + ... + 487816.

Almost surely, 2^211130800 is an apocalyptic number.

211130800 is a gapful number since it is divisible by the number (20) 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 211130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270263952).

211130800 is an abundant number, since it is smaller than the sum of its proper divisors (329397104).

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

211130800 is a wasteful number, since it uses less digits than its factorization.

211130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 211130800 is about 14530.3406704729. The cubic root of 211130800 is about 595.4571728239.

Adding to 211130800 its reverse (8031112), we get a palindrome (219161912).

The spelling of 211130800 in words is "two hundred eleven million, one hundred thirty thousand, eight hundred".