Search a number
-
+
12868381 is a prime number
BaseRepresentation
bin110001000101…
…101100011101
3220012210002201
4301011230131
511243242011
61135451501
7214244101
oct61055435
926183081
1012868381
11729a229
124386b91
132887336
1419cd901
1511e2cc1
hexc45b1d

12868381 has 2 divisors, whose sum is σ = 12868382. Its totient is φ = 12868380.

The previous prime is 12868363. The next prime is 12868393. The reversal of 12868381 is 18386821.

12868381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11799225 + 1069156 = 3435^2 + 1034^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12868381 is a prime.

It is a super-2 number, since 2×128683812 = 331190459122322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12868381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12868321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6434190 + 6434191.

It is an arithmetic number, because the mean of its divisors is an integer number (6434191).

Almost surely, 212868381 is an apocalyptic number.

It is an amenable number.

12868381 is a deficient number, since it is larger than the sum of its proper divisors (1).

12868381 is an equidigital number, since it uses as much as digits as its factorization.

12868381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18432, while the sum is 37.

The square root of 12868381 is about 3587.2525698646. The cubic root of 12868381 is about 234.3372362504.

The spelling of 12868381 in words is "twelve million, eight hundred sixty-eight thousand, three hundred eighty-one".