Search a number
-
+
330332212212201 = 32293125268188173
BaseRepresentation
bin100101100011011110111011…
…0001010101011000111101001
31121022121110011211112022002200
41023012331312022223013221
5321244130332311242301
63130320305012050413
7126402500106322023
oct11306756612530751
91538543154468080
10330332212212201
1196288117061651
1231070719603a09
131124226a153b54
145b802430a9013
15282ca73c50c86
hex12c6f762ab1e9

330332212212201 has 12 divisors (see below), whose sum is σ = 478775015201028. Its totient is φ = 219469865677344.

The previous prime is 330332212212169. The next prime is 330332212212221. The reversal of 330332212212201 is 102212212233033.

330332212212201 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 32 + 212 + 212 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225577089562176 + 104755122650025 = 15019224^2 + 10234995^2 .

It is not a de Polignac number, because 330332212212201 - 25 = 330332212212169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330332212212221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62634091450 + ... + 62634096723.

It is an arithmetic number, because the mean of its divisors is an integer number (39897917933419).

Almost surely, 2330332212212201 is an apocalyptic number.

It is an amenable number.

330332212212201 is a deficient number, since it is larger than the sum of its proper divisors (148442802988827).

330332212212201 is a wasteful number, since it uses less digits than its factorization.

330332212212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125268188472 (or 125268188469 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 330332212212201 its reverse (102212212233033), we get a palindrome (432544424445234).

The spelling of 330332212212201 in words is "three hundred thirty trillion, three hundred thirty-two billion, two hundred twelve million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 293 879 2637 125268188173 375804564519 1127413693557 36703579134689 110110737404067 330332212212201