Search a number
-
+
13463101121 is a prime number
BaseRepresentation
bin11001000100111011…
…01001111011000001
31021202021012101202212
430202131221323001
5210033023213441
610103532551505
7654425320451
oct144235517301
937667171685
1013463101121
11578962a158
122738922595
131367307932
1491a077d61
1553be2beeb
hex322769ec1

13463101121 has 2 divisors, whose sum is σ = 13463101122. Its totient is φ = 13463101120.

The previous prime is 13463101117. The next prime is 13463101123. The reversal of 13463101121 is 12110136431.

It is a happy number.

13463101121 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., 12493650625 + 969450496 = 111775^2 + 31136^2 .

It is a cyclic number.

It is not a de Polignac number, because 13463101121 - 22 = 13463101117 is a prime.

Together with 13463101123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13463101123) 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, 6731550560 + 6731550561.

It is an arithmetic number, because the mean of its divisors is an integer number (6731550561).

Almost surely, 213463101121 is an apocalyptic number.

It is an amenable number.

13463101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13463101121 is an equidigital number, since it uses as much as digits as its factorization.

13463101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13463101121 its reverse (12110136431), we get a palindrome (25573237552).

It can be divided in two parts, 1346310 and 1121, that added together give a palindrome (1347431).

The spelling of 13463101121 in words is "thirteen billion, four hundred sixty-three million, one hundred one thousand, one hundred twenty-one".