Search a number
-
+
12110211257 is a prime number
BaseRepresentation
bin10110100011101001…
…10010100010111001
31011020222111110202212
423101310302202321
5144300203230012
65321403504505
7606050045234
oct132164624271
934228443685
1012110211257
115154997a61
12241b828135
1311acc420a1
1482c50a41b
154ad290b22
hex2d1d328b9

12110211257 has 2 divisors, whose sum is σ = 12110211258. Its totient is φ = 12110211256.

The previous prime is 12110211173. The next prime is 12110211313. The reversal of 12110211257 is 75211201121.

It is a happy number.

12110211257 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., 9869230336 + 2240980921 = 99344^2 + 47339^2 .

It is a cyclic number.

It is not a de Polignac number, because 12110211257 - 228 = 11841775801 is a prime.

It is not a weakly prime, because it can be changed into another prime (12110214257) 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, 6055105628 + 6055105629.

It is an arithmetic number, because the mean of its divisors is an integer number (6055105629).

Almost surely, 212110211257 is an apocalyptic number.

It is an amenable number.

12110211257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12110211257 is an equidigital number, since it uses as much as digits as its factorization.

12110211257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 12110211257 its reverse (75211201121), we get a palindrome (87321412378).

The spelling of 12110211257 in words is "twelve billion, one hundred ten million, two hundred eleven thousand, two hundred fifty-seven".