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12311417 = 17232372
BaseRepresentation
bin101110111101…
…101101111001
3212011111002102
4232331231321
511122431132
61115513145
7206434226
oct56755571
925144072
1012311417
116a49828
1241587b5
132720981
1418c694d
151132c62
hexbbdb79

12311417 has 18 divisors (see below), whose sum is σ = 14005278. Its totient is φ = 10783872.

The previous prime is 12311401. The next prime is 12311419. The reversal of 12311417 is 71411321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8667136 + 3644281 = 2944^2 + 1909^2 .

It is not a de Polignac number, because 12311417 - 24 = 12311401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12311419) 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 17 ways as a sum of consecutive naturals, for example, 332723 + ... + 332759.

It is an arithmetic number, because the mean of its divisors is an integer number (778071).

Almost surely, 212311417 is an apocalyptic number.

12311417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12311417 is a deficient number, since it is larger than the sum of its proper divisors (1693861).

12311417 is an equidigital number, since it uses as much as digits as its factorization.

12311417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 77 counting only the distinct ones).

The product of its digits is 168, while the sum is 20.

The square root of 12311417 is about 3508.7628874006. The cubic root of 12311417 is about 230.9064231210.

Adding to 12311417 its reverse (71411321), we get a palindrome (83722738).

The spelling of 12311417 in words is "twelve million, three hundred eleven thousand, four hundred seventeen".

Divisors: 1 17 23 37 391 529 629 851 1369 8993 14467 19573 23273 31487 332741 535279 724201 12311417