Search a number
-
+
213322323321 = 3293725296137
BaseRepresentation
bin1100011010101100000…
…0000101010101111001
3202101121210120211102200
43012223000011111321
511443341003321241
6241555433420413
721261216554532
oct3065300052571
9671553524380
10213322323321
1182518987968
123541526a709
1317168406723
14a479591689
155837d444b6
hex31ab005579

213322323321 has 12 divisors (see below), whose sum is σ = 308461106772. Its totient is φ = 142063099776.

The previous prime is 213322323257. The next prime is 213322323353. The reversal of 213322323321 is 123323223312.

213322323321 is a `hidden beast` number, since 2 + 1 + 3 + 322 + 3 + 2 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23020475625 + 190301847696 = 151725^2 + 436236^2 .

It is not a de Polignac number, because 213322323321 - 26 = 213322323257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213322323391) 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 11 ways as a sum of consecutive naturals, for example, 12639636 + ... + 12656501.

It is an arithmetic number, because the mean of its divisors is an integer number (25705092231).

Almost surely, 2213322323321 is an apocalyptic number.

It is an amenable number.

213322323321 is a deficient number, since it is larger than the sum of its proper divisors (95138783451).

213322323321 is a wasteful number, since it uses less digits than its factorization.

213322323321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25297080 (or 25297077 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 213322323321 its reverse (123323223312), we get a palindrome (336645546633).

The spelling of 213322323321 in words is "two hundred thirteen billion, three hundred twenty-two million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 937 2811 8433 25296137 75888411 227665233 23702480369 71107441107 213322323321