Search a number
-
+
12132010305 = 345177872239
BaseRepresentation
bin10110100110001111…
…11100100101000001
31011022111111222110000
423103013330211001
5144321243312210
65323503030213
7606433246302
oct132307744501
934274458400
1012132010305
1151662269a8
122426b9b369
1311b460532c
148313827a9
154b0149ac0
hex2d31fc941

12132010305 has 80 divisors (see below), whose sum is σ = 23066588160. Its totient is φ = 6079339008.

The previous prime is 12132010259. The next prime is 12132010333. The reversal of 12132010305 is 50301023121.

12132010305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132010305 - 214 = 12131993921 is a prime.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5417376 + ... + 5419614.

It is an arithmetic number, because the mean of its divisors is an integer number (288332352).

Almost surely, 212132010305 is an apocalyptic number.

12132010305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12132010305 is a deficient number, since it is larger than the sum of its proper divisors (10934577855).

12132010305 is a wasteful number, since it uses less digits than its factorization.

12132010305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 12132010305 its reverse (50301023121), we get a palindrome (62433033426).

The spelling of 12132010305 in words is "twelve billion, one hundred thirty-two million, ten thousand, three hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 787 1377 2239 2295 2361 3935 6717 6885 7083 11195 11805 13379 20151 21249 33585 35415 38063 40137 60453 63747 66895 100755 106245 114189 120411 181359 190315 200685 302265 318735 342567 361233 570945 602055 906795 1027701 1083699 1712835 1762093 1806165 3083103 5138505 5286279 5418495 8810465 15415515 15858837 26431395 29955581 47576511 79294185 89866743 142729533 149777905 237882555 269600229 449333715 713647665 808800687 1348001145 2426402061 4044003435 12132010305