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12313314 = 23213101521
BaseRepresentation
bin101110111110…
…001011100010
3212011120200200
4232332023202
511123011224
61115530030
7206442606
oct56761342
925146620
1012313314
116a501a2
124159916
1327217b0
1418c7506
1511335c9
hexbbe2e2

12313314 has 48 divisors (see below), whose sum is σ = 29071224. Its totient is φ = 3744000.

The previous prime is 12313309. The next prime is 12313319. The reversal of 12313314 is 41331321.

It is an interprime number because it is at equal distance from previous prime (12313309) and next prime (12313319).

It can be written as a sum of positive squares in 4 ways, for example, as 10400625 + 1912689 = 3225^2 + 1383^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12313319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23374 + ... + 23894.

It is a self-describing number.

Almost surely, 212313314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535612).

12313314 is an abundant number, since it is smaller than the sum of its proper divisors (16757910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12313314 is a wasteful number, since it uses less digits than its factorization.

12313314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 12313314 is about 3509.0332001849. The cubic root of 12313314 is about 230.9182822213.

Adding to 12313314 its reverse (41331321), we get a palindrome (53644635).

The spelling of 12313314 in words is "twelve million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 521 606 909 1042 1313 1563 1818 2626 3126 3939 4689 6773 7878 9378 11817 13546 20319 23634 40638 52621 60957 105242 121914 157863 315726 473589 684073 947178 1368146 2052219 4104438 6156657 12313314