211130310420 has 36 divisors (see below), whose sum is σ = 640428608820. Its totient is φ = 56301416064.

The previous prime is 211130310389. The next prime is 211130310427. The reversal of 211130310420 is 24013031112.

211130310420 is a `hidden beast` number, since 211 + 1 + 3 + 0 + 31 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68114736144 + 143015574276 = 260988^2 + 378174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211130310393 and 211130310402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211130310427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586472905 + ... + 586473264.

Almost surely, 2^211130310420 is an apocalyptic number.

211130310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211130310420 is an abundant number, since it is smaller than the sum of its proper divisors (429298298400).

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

211130310420 is a wasteful number, since it uses less digits than its factorization.

211130310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172946184 (or 1172946179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211130310420 its reverse (24013031112), we get a palindrome (235143341532).

The spelling of 211130310420 in words is "two hundred eleven billion, one hundred thirty million, three hundred ten thousand, four hundred twenty".