Search a number
-
+
12213213201 = 327283333667
BaseRepresentation
bin10110101111111011…
…01101100000010001
31011112011022111212200
423113331231200101
5200003040310301
65335523313413
7611440412400
oct132775554021
934464274780
1012213213201
1151a8049932
12244a21b869
1311c8397097
1483c07d637
154b7339c86
hex2d7f6d811

12213213201 has 36 divisors (see below), whose sum is σ = 20768830992. Its totient is φ = 6894874224.

The previous prime is 12213213193. The next prime is 12213213217. The reversal of 12213213201 is 10231231221.

12213213201 is a `hidden beast` number, since 1 + 2 + 21 + 321 + 320 + 1 = 666.

It is not a de Polignac number, because 12213213201 - 23 = 12213213193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12213213101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130231 + ... + 203436.

It is an arithmetic number, because the mean of its divisors is an integer number (576911972).

Almost surely, 212213213201 is an apocalyptic number.

It is an amenable number.

12213213201 is a deficient number, since it is larger than the sum of its proper divisors (8555617791).

12213213201 is a wasteful number, since it uses less digits than its factorization.

12213213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333770 (or 333760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12213213201 its reverse (10231231221), we get a palindrome (22444444422).

The spelling of 12213213201 in words is "twelve billion, two hundred thirteen million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 581 747 1743 4067 5229 12201 36603 333667 1001001 2335669 3003003 7007007 16349683 21021021 27694361 49049049 83083083 147147147 193860527 249249249 581581581 1357023689 1744744743 4071071067 12213213201