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12917331 = 3272171723
BaseRepresentation
bin110001010001…
…101001010011
3220022021020200
4301101221103
511301323311
61140510243
7214536600
oct61215123
926267220
1012917331
117322a89
1243ab383
1328a36bb
141a036a7
151202556
hexc51a53

12917331 has 36 divisors (see below), whose sum is σ = 22994712. Its totient is φ = 6943104.

The previous prime is 12917309. The next prime is 12917353. The reversal of 12917331 is 13371921.

It is an interprime number because it is at equal distance from previous prime (12917309) and next prime (12917353).

It is not a de Polignac number, because 12917331 - 211 = 12915283 is a prime.

It is a super-2 number, since 2×129173312 = 333714880327122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12917295 and 12917304.

It is not an unprimeable number, because it can be changed into a prime (12917431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6636 + ... + 8358.

It is an arithmetic number, because the mean of its divisors is an integer number (638742).

Almost surely, 212917331 is an apocalyptic number.

12917331 is a deficient number, since it is larger than the sum of its proper divisors (10077381).

12917331 is a wasteful number, since it uses less digits than its factorization.

12917331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1750 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 12917331 is about 3594.0688641149. The cubic root of 12917331 is about 234.6339918869.

The spelling of 12917331 in words is "twelve million, nine hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 1723 2499 5169 7497 12061 15507 29291 36183 84427 87873 108549 205037 253281 263619 615111 759843 1435259 1845333 4305777 12917331