211300030032 has 160 divisors (see below), whose sum is σ = 673010257920. Its totient is φ = 55629227520.

The previous prime is 211300029893. The next prime is 211300030037. The reversal of 211300030032 is 230030003112.

It is a junction number, because it is equal to n+sod(n) for n = 211300029993 and 211300030020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211300030037) 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 31 ways as a sum of consecutive naturals, for example, 2451769 + ... + 2536487.

It is an arithmetic number, because the mean of its divisors is an integer number (4206314112).

Almost surely, 2^211300030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211300030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336505128960).

211300030032 is an abundant number, since it is smaller than the sum of its proper divisors (461710227888).

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

211300030032 is a wasteful number, since it uses less digits than its factorization.

211300030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85321 (or 85315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 211300030032 its reverse (230030003112), we get a palindrome (441330033144).

The spelling of 211300030032 in words is "two hundred eleven billion, three hundred million, thirty thousand, thirty-two".