Search a number
-
+
12185210161 is a prime number
BaseRepresentation
bin10110101100100101…
…11000110100110001
31011110012121210221001
423112102320310301
5144423403211121
65333043202001
7610650402025
oct132622706461
934405553831
1012185210161
115193262823
122440976301
1311c2641037
14838470385
154b4b57991
hex2d64b8d31

12185210161 has 2 divisors, whose sum is σ = 12185210162. Its totient is φ = 12185210160.

The previous prime is 12185210137. The next prime is 12185210197. The reversal of 12185210161 is 16101258121.

12185210161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6628402225 + 5556807936 = 81415^2 + 74544^2 .

It is a cyclic number.

It is not a de Polignac number, because 12185210161 - 25 = 12185210129 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (12185214161) 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 as a sum of consecutive naturals, namely, 6092605080 + 6092605081.

It is an arithmetic number, because the mean of its divisors is an integer number (6092605081).

Almost surely, 212185210161 is an apocalyptic number.

It is an amenable number.

12185210161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12185210161 is an equidigital number, since it uses as much as digits as its factorization.

12185210161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 28.

Adding to 12185210161 its reverse (16101258121), we get a palindrome (28286468282).

The spelling of 12185210161 in words is "twelve billion, one hundred eighty-five million, two hundred ten thousand, one hundred sixty-one".