Search a number
-
+
12232011033 = 3211536133803
BaseRepresentation
bin10110110010001010…
…11010110100011001
31011120110200112122200
423121011122310121
5200022343323113
65341434240413
7612056243514
oct133105326431
934513615580
1012232011033
115207718a30
122454586109
1311cc249268
14840773d7b
154b8cee873
hex2d915ad19

12232011033 has 48 divisors (see below), whose sum is σ = 19675566144. Its totient is φ = 7259690880.

The previous prime is 12232011013. The next prime is 12232011049. The reversal of 12232011033 is 33011023221.

12232011033 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 12232011033 - 210 = 12232010009 is a prime.

It is a super-2 number, since 2×122320110332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12232010997 and 12232011015.

It is not an unprimeable number, because it can be changed into a prime (12232011013) 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 47 ways as a sum of consecutive naturals, for example, 3214510 + ... + 3218312.

It is an arithmetic number, because the mean of its divisors is an integer number (409907628).

Almost surely, 212232011033 is an apocalyptic number.

It is an amenable number.

12232011033 is a deficient number, since it is larger than the sum of its proper divisors (7443555111).

12232011033 is a wasteful number, since it uses less digits than its factorization.

12232011033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12232011033 its reverse (33011023221), we get a palindrome (45243034254).

The spelling of 12232011033 in words is "twelve billion, two hundred thirty-two million, eleven thousand, thirty-three".

Divisors: 1 3 9 11 33 53 99 159 477 583 613 1749 1839 3803 5247 5517 6743 11409 20229 32489 34227 41833 60687 97467 125499 201559 292401 357379 376497 604677 1072137 1814031 2217149 2331239 3216411 6651447 6993717 19954341 20981151 25643629 76930887 123555667 230792661 370667001 1112001003 1359112337 4077337011 12232011033