Search a number
-
+
13022331113223 = 338355798310613
BaseRepresentation
bin1011110101111111111101…
…1010111000111100000111
31201002220220122102121201000
42331133333122320330013
53201324213231110343
643410213141504343
72512555335052635
oct275377732707407
951086818377630
1013022331113223
114170815470673
1215639944120b3
137360012aca93
143303d9b58355
15178b19dbced3
hexbd7ff6b8f07

13022331113223 has 64 divisors (see below), whose sum is σ = 19581576698880. Its totient is φ = 8552043045504.

The previous prime is 13022331113213. The next prime is 13022331113227. The reversal of 13022331113223 is 32231113322031.

13022331113223 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 331 + 1 + 1 + 322 + 3 = 666.

It is not a de Polignac number, because 13022331113223 - 213 = 13022331105031 is a prime.

It is a super-2 number, since 2×130223311132232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022331113227) 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, 1227011665 + ... + 1227022277.

It is an arithmetic number, because the mean of its divisors is an integer number (305962135920).

Almost surely, 213022331113223 is an apocalyptic number.

13022331113223 is a deficient number, since it is larger than the sum of its proper divisors (6559245585657).

13022331113223 is a wasteful number, since it uses less digits than its factorization.

13022331113223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12245 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13022331113223 its reverse (32231113322031), we get a palindrome (45253444435254).

The spelling of 13022331113223 in words is "thirteen trillion, twenty-two billion, three hundred thirty-one million, one hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 27 83 249 557 747 983 1671 2241 2949 5013 8847 10613 15039 26541 31839 46231 81589 95517 138693 244767 286551 416079 547531 734301 880879 1248237 1642593 2202903 2642637 4927779 5911441 7927911 10432579 14783337 17734323 23783733 31297737 45445073 53202969 93893211 136335219 159608907 281679633 409005657 490649603 865904057 1227016971 1471948809 2597712171 4415846427 5810946503 7793136513 13247539281 17432839509 23379409539 52298518527 156895555581 482308559749 1446925679247 4340777037741 13022331113223