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12787313 = 711712339
BaseRepresentation
bin110000110001…
…111001110001
3220001122220012
4300301321301
511233143223
61134024305
7213455540
oct60617161
926048805
1012787313
117244330
124348095
132859476
1419ac157
1511c8c78
hexc31e71

12787313 has 16 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 9819600.

The previous prime is 12787301. The next prime is 12787319. The reversal of 12787313 is 31378721.

12787313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12787313 - 212 = 12783217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12787313.

It is not an unprimeable number, because it can be changed into a prime (12787319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298 + ... + 6636.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 212787313 is an apocalyptic number.

It is an amenable number.

12787313 is a deficient number, since it is larger than the sum of its proper divisors (3386767).

12787313 is a wasteful number, since it uses less digits than its factorization.

12787313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428.

The product of its digits is 7056, while the sum is 32.

The square root of 12787313 is about 3575.9352622775. The cubic root of 12787313 is about 233.8441080647.

The spelling of 12787313 in words is "twelve million, seven hundred eighty-seven thousand, three hundred thirteen".

Divisors: 1 7 11 71 77 497 781 2339 5467 16373 25729 166069 180103 1162483 1826759 12787313