Search a number
-
+
12332121322213 = 7117924146718013
BaseRepresentation
bin1011001101110100101110…
…1101011111001011100101
31121122221100201221100221001
42303131023231133023211
53104022141024302323
642121144234353301
72411652314454520
oct263351355371345
947587321840831
1012332121322213
113a25028a96990
12147206a58b831
136b5bb6228614
14308c40ba5bb7
15165bc05833ad
hexb374bb5f2e5

12332121322213 has 64 divisors (see below), whose sum is σ = 15668686725120. Its totient is φ = 9427682534400.

The previous prime is 12332121322163. The next prime is 12332121322217. The reversal of 12332121322213 is 31222312123321.

It is not a de Polignac number, because 12332121322213 - 29 = 12332121321701 is a prime.

It is a super-2 number, since 2×123321213222132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332121322217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684614395 + ... + 684632407.

It is an arithmetic number, because the mean of its divisors is an integer number (244823230080).

Almost surely, 212332121322213 is an apocalyptic number.

It is an amenable number.

12332121322213 is a deficient number, since it is larger than the sum of its proper divisors (3336565402907).

12332121322213 is a wasteful number, since it uses less digits than its factorization.

12332121322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18818.

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

Adding to 12332121322213 its reverse (31222312123321), we get a palindrome (43554433445534).

The spelling of 12332121322213 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 7 11 77 79 241 467 553 869 1687 2651 3269 5137 6083 18013 18557 19039 35959 36893 112547 126091 133273 198143 209429 258251 405823 787829 1238017 1387001 1423027 1466003 2840761 4341133 8412071 8666119 8891213 9961189 15653297 30387931 47752463 58884497 62238491 92532781 97803343 109573079 334267241 342949507 647729467 664553609 684623401 2027309111 2400646549 3772444577 4651875263 7310089699 14191163777 22300400221 26407112039 51170627893 156102801547 160157419769 1121101938383 1761731617459 12332121322213