221300340113205 has 48 divisors (see below), whose sum is σ = 384956742708720. Its totient is φ = 117605593857024.

The previous prime is 221300340113197. The next prime is 221300340113233. The reversal of 221300340113205 is 502311043003122.

221300340113205 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 0 + 340 + 113 + 205 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18427092997041 + 202873247116164 = 4292679^2 + 14243358^2 .

It is not a de Polignac number, because 221300340113205 - 2³ = 221300340113197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83032561 + ... + 85656329.

It is an arithmetic number, because the mean of its divisors is an integer number (8019932139765).

Almost surely, 2^{221300340113205} is an apocalyptic number.

It is an amenable number.

221300340113205 is a deficient number, since it is larger than the sum of its proper divisors (163656402595515).

221300340113205 is a wasteful number, since it uses less digits than its factorization.

221300340113205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630470 (or 2630467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 221300340113205 its reverse (502311043003122), we get a palindrome (723611383116327).

The spelling of 221300340113205 in words is "two hundred twenty-one trillion, three hundred billion, three hundred forty million, one hundred thirteen thousand, two hundred five".