211110016 has 64 divisors (see below), whose sum is σ = 455517720. Its totient is φ = 96878592.

The previous prime is 211109993. The next prime is 211110017. The reversal of 211110016 is 610011112.

It can be written as a sum of positive squares in 4 ways, for example, as 156350016 + 54760000 = 12504^2 + 7400^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211109978 and 211110005.

It is not an unprimeable number, because it can be changed into a prime (211110017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487336 + ... + 487768.

Almost surely, 2^211110016 is an apocalyptic number.

211110016 is a gapful number since it is divisible by the number (26) 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 211110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227758860).

211110016 is an abundant number, since it is smaller than the sum of its proper divisors (244407704).

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

211110016 is a wasteful number, since it uses less digits than its factorization.

211110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 211110016 is about 14529.6254597288. The cubic root of 211110016 is about 595.4376329810.

Adding to 211110016 its reverse (610011112), we get a palindrome (821121128).

The spelling of 211110016 in words is "two hundred eleven million, one hundred ten thousand, sixteen".