Search a number
-
+
12241323223441 = 13173491055915031
BaseRepresentation
bin1011001000100010011110…
…1110001110100110010001
31121100020222212022001002221
42302020213232032212101
53101030212221122231
642011330344141041
72402256254403424
oct262104756164621
947306885261087
1012241323223441
11399a574913434
12145854a467781
136aa475c6a960
143046a9cb59bb
15163659107d11
hexb2227b8e991

12241323223441 has 32 divisors (see below), whose sum is σ = 14000684544000. Its totient is φ = 10602813219840.

The previous prime is 12241323223429. The next prime is 12241323223511. The reversal of 12241323223441 is 14432232314221.

It is a cyclic number.

It is not a de Polignac number, because 12241323223441 - 27 = 12241323223313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12241323223397 and 12241323223406.

It is not an unprimeable number, because it can be changed into a prime (12241323229441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814397596 + ... + 814412626.

It is an arithmetic number, because the mean of its divisors is an integer number (437521392000).

Almost surely, 212241323223441 is an apocalyptic number.

It is an amenable number.

12241323223441 is a deficient number, since it is larger than the sum of its proper divisors (1759361320559).

12241323223441 is a wasteful number, since it uses less digits than its factorization.

12241323223441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25969.

The product of its digits is 55296, while the sum is 34.

Adding to 12241323223441 its reverse (14432232314221), we get a palindrome (26673555537662).

The spelling of 12241323223441 in words is "twelve trillion, two hundred forty-one billion, three hundred twenty-three million, two hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 13 17 221 349 4537 5933 10559 15031 77129 137267 179503 195403 255527 2333539 3321851 3685091 5245819 47906183 62646547 68195647 89178923 158712329 814405111 1159325999 2063260277 2698109593 35075424709 55390602821 720077836673 941640247957 12241323223441