Search a number
-
+
12112112331 = 341131736007
BaseRepresentation
bin10110100011111000…
…00010101011001011
31011021010002001120000
423101330002223023
5144301200043311
65321512334043
7606102153564
oct132174025313
934233061500
1012112112331
115155a762a0
1224203a4323
1311b0459497
1482c88316b
154ad519056
hex2d1f02acb

12112112331 has 80 divisors (see below), whose sum is σ = 20657522688. Its totient is φ = 7005398400.

The previous prime is 12112112329. The next prime is 12112112339. The reversal of 12112112331 is 13321121121.

12112112331 is a `hidden beast` number, since 121 + 1 + 211 + 2 + 331 = 666.

12112112331 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 12112112331 - 21 = 12112112329 is a prime.

It is a super-2 number, since 2×121121123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12112112339) by changing a digit.

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, 2013330 + ... + 2019336.

Almost surely, 212112112331 is an apocalyptic number.

12112112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12112112331 is a deficient number, since it is larger than the sum of its proper divisors (8545410357).

12112112331 is a wasteful number, since it uses less digits than its factorization.

12112112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6125 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12112112331 its reverse (13321121121), we get a palindrome (25433233452).

The spelling of 12112112331 in words is "twelve billion, one hundred twelve million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 73 81 93 99 219 279 297 341 657 803 837 891 1023 1971 2263 2409 2511 3069 5913 6007 6789 7227 9207 18021 20367 21681 24893 27621 54063 61101 65043 66077 74679 162189 183303 186217 198231 224037 438511 486567 558651 594693 672111 1315533 1675953 1784079 2016333 2048387 3946599 4823621 5027859 5352237 6145161 11839797 13593841 14470863 15083577 18435483 35519391 40781523 43412589 55306449 122344569 130237767 149532251 165919347 367033707 390713301 448596753 1101101121 1345790259 4037370777 12112112331