Search a number
-
+
12311331322041 = 3227135329714813
BaseRepresentation
bin1011001100100111010010…
…0001111011100010111001
31121120221200211212221011200
42303021310201323202321
53103202101304301131
642103425244444413
72410315160413233
oct263116441734271
947527624787150
1012311331322041
113a1722a637064
12146a027b49709
136b3c51c8c57b
14307c2b9d9253
151653a52b82e6
hexb327487b8b9

12311331322041 has 48 divisors (see below), whose sum is σ = 17908961770752. Its totient is φ = 8149664793600.

The previous prime is 12311331322039. The next prime is 12311331322049. The reversal of 12311331322041 is 14022313311321.

12311331322041 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 331 + 322 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 12311331322041 - 21 = 12311331322039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12311331321996 and 12311331322014.

It is not an unprimeable number, because it can be changed into a prime (12311331322049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2557930551 + ... + 2557935363.

It is an arithmetic number, because the mean of its divisors is an integer number (373103370224).

Almost surely, 212311331322041 is an apocalyptic number.

It is an amenable number.

12311331322041 is a deficient number, since it is larger than the sum of its proper divisors (5597630448711).

12311331322041 is a wasteful number, since it uses less digits than its factorization.

12311331322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12311331322041 its reverse (14022313311321), we get a palindrome (26333644633362).

The spelling of 12311331322041 in words is "twelve trillion, three hundred eleven billion, three hundred thirty-one million, three hundred twenty-two thousand, forty-one".

Divisors: 1 3 9 271 353 813 1059 2439 2971 3177 4813 8913 14439 26739 43317 95663 286989 805141 860967 1048763 1304323 1698989 2415423 3146289 3912969 5096967 7246269 9438867 11738907 14299423 15290901 42898269 128694807 284214773 460426019 852644319 1381278057 2557932957 3875143633 4143834171 5047696319 11625430899 15143088957 34876292697 45429266871 1367925702449 4103777107347 12311331322041