Search a number
-
+
12221323312231 = 1119389170987959
BaseRepresentation
bin1011000111010111111110…
…1000100111110001100111
31121021100101000221021122201
42301311333220213301213
53100213232231442411
641554222020435331
72400650533066405
oct261657750476147
947240330837581
1012221323312231
1139920414450a0
1214546a8548b47
136a86095c4577
1430372da14475
15162d883a83c1
hexb1d7fa27c67

12221323312231 has 32 divisors (see below), whose sum is σ = 14078525760000. Its totient is φ = 10492221317760.

The previous prime is 12221323312201. The next prime is 12221323312291. The reversal of 12221323312231 is 13221332312221.

It is a cyclic number.

It is not a de Polignac number, because 12221323312231 - 225 = 12221289757799 is a prime.

It is a super-2 number, since 2×122213233122312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12221323312231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221323312201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138899430 + ... + 138987388.

It is an arithmetic number, because the mean of its divisors is an integer number (439953930000).

Almost surely, 212221323312231 is an apocalyptic number.

12221323312231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221323312231 is a deficient number, since it is larger than the sum of its proper divisors (1857202447769).

12221323312231 is a wasteful number, since it uses less digits than its factorization.

12221323312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90087.

The product of its digits is 5184, while the sum is 28.

Adding to 12221323312231 its reverse (13221332312221), we get a palindrome (25442655624452).

The spelling of 12221323312231 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-three million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 11 19 209 389 1709 4279 7391 18799 32471 81301 87959 357181 664801 967549 1671221 7312811 12631219 18383431 34216051 138943409 150321931 376376561 650104969 1653541241 2856116689 7151154659 31417283579 58475231159 643227542749 1111029392021 12221323312231