Search a number
-
+
13311230032321 = 1317229491248827
BaseRepresentation
bin1100000110110100001100…
…1000110011100111000001
31202010112121111201022021121
43001231003020303213001
53221042344342013241
644151032240152241
72542463455256044
oct301550310634701
952115544638247
1013311230032321
11427229636a541
1215ab980008681
13757322282560
143403a47d6c5b
151813c7bc2ad1
hexc1b432339c1

13311230032321 has 48 divisors (see below), whose sum is σ = 15785270101440. Its totient is φ = 11142945838080.

The previous prime is 13311230032307. The next prime is 13311230032349. The reversal of 13311230032321 is 12323003211331.

It is not a de Polignac number, because 13311230032321 - 29 = 13311230031809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13311230032391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53371510 + ... + 53620336.

It is an arithmetic number, because the mean of its divisors is an integer number (328859793780).

Almost surely, 213311230032321 is an apocalyptic number.

It is an amenable number.

13311230032321 is a deficient number, since it is larger than the sum of its proper divisors (2474040069119).

13311230032321 is a wasteful number, since it uses less digits than its factorization.

13311230032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249394 (or 249377 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13311230032321 its reverse (12323003211331), we get a palindrome (25634233243652).

The spelling of 13311230032321 in words is "thirteen trillion, three hundred eleven billion, two hundred thirty million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 13 17 29 221 289 377 491 493 3757 6383 6409 8347 8381 14239 108511 108953 141899 185107 242063 248827 1844687 3146819 3234751 4115071 4230059 7215983 53495923 54990767 71911003 93807779 122174057 122671711 934843039 1588262741 1594732243 2076958969 2085419087 3543047653 27000466597 27110448131 35308302473 46059619489 60231810101 459007932149 783013531313 1023940771717 13311230032321