211431400020 has 36 divisors (see below), whose sum is σ = 641341913940. Its totient is φ = 56381706624.

The previous prime is 211431400013. The next prime is 211431400073. The reversal of 211431400020 is 20004134112.

211431400020 is a `hidden beast` number, since 211 + 4 + 31 + 400 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46208661444 + 165222738576 = 214962^2 + 406476^2 .

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 = 211431399966 and 211431400002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587309265 + ... + 587309624.

It is an arithmetic number, because the mean of its divisors is an integer number (17815053165).

Almost surely, 2^211431400020 is an apocalyptic number.

211431400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431400020 is an abundant number, since it is smaller than the sum of its proper divisors (429910513920).

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

211431400020 is a wasteful number, since it uses less digits than its factorization.

211431400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174618904 (or 1174618899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211431400020 its reverse (20004134112), we get a palindrome (231435534132).

The spelling of 211431400020 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thousand, twenty".