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12164381 is a prime number
BaseRepresentation
bin101110011001…
…110100011101
3211220000101122
4232121310131
511103230011
61112420325
7205252445
oct56316435
924800348
1012164381
116959309
1240a76a5
13269ba78
141889125
1511043db
hexb99d1d

12164381 has 2 divisors, whose sum is σ = 12164382. Its totient is φ = 12164380.

The previous prime is 12164371. The next prime is 12164387. The reversal of 12164381 is 18346121.

12164381 is digitally balanced in base 3, 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., 8797156 + 3367225 = 2966^2 + 1835^2 .

It is a cyclic number.

It is not a de Polignac number, because 12164381 - 210 = 12163357 is a prime.

It is a super-2 number, since 2×121643812 = 295944330226322, 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 12164381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12164387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6082190 + 6082191.

It is an arithmetic number, because the mean of its divisors is an integer number (6082191).

Almost surely, 212164381 is an apocalyptic number.

It is an amenable number.

12164381 is a deficient number, since it is larger than the sum of its proper divisors (1).

12164381 is an equidigital number, since it uses as much as digits as its factorization.

12164381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 26.

The square root of 12164381 is about 3487.7472672199. The cubic root of 12164381 is about 229.9834959802.

The spelling of 12164381 in words is "twelve million, one hundred sixty-four thousand, three hundred eighty-one".