211350022216137 has 72 divisors (see below), whose sum is σ = 361882917906120. Its totient is φ = 118474104752640.

The previous prime is 211350022216063. The next prime is 211350022216171. The reversal of 211350022216137 is 731612220053112.

211350022216137 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 500 + 2 + 2 + 2 + 16 + 137 = 666.

211350022216137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48580676960256 + 162769345255881 = 6969984^2 + 12758109^2 .

It is not a de Polignac number, because 211350022216137 - 2¹⁵ = 211350022183369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211350022211137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148622437 + ... + 150037757.

It is an arithmetic number, because the mean of its divisors is an integer number (5026151637585).

Almost surely, 2^{211350022216137} is an apocalyptic number.

It is an amenable number.

211350022216137 is a deficient number, since it is larger than the sum of its proper divisors (150532895689983).

211350022216137 is a wasteful number, since it uses less digits than its factorization.

211350022216137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421783 (or 1421773 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 211350022216137 its reverse (731612220053112), we get a palindrome (942962242269249).

The spelling of 211350022216137 in words is "two hundred eleven trillion, three hundred fifty billion, twenty-two million, two hundred sixteen thousand, one hundred thirty-seven".