Search a number
-
+
12135054553961 is a prime number
BaseRepresentation
bin1011000010010110100110…
…0111011011001101101001
31120222002200211001021221112
42300211221213123031221
53042310042431211321
641450433405520105
72361504651536543
oct260455147331551
946862624037845
1012135054553961
1139594a1a32159
12143ba31273035
136a043b814141
142dd4a84aa693
151609d98b4a5b
hexb09699db369

12135054553961 has 2 divisors, whose sum is σ = 12135054553962. Its totient is φ = 12135054553960.

The previous prime is 12135054553913. The next prime is 12135054554009. The reversal of 12135054553961 is 16935545053121.

It is a balanced prime because it is at equal distance from previous prime (12135054553913) and next prime (12135054554009).

It can be written as a sum of positive squares in only one way, i.e., 12044064847936 + 90989706025 = 3470456^2 + 301645^2 .

It is an emirp because it is prime and its reverse (16935545053121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12135054553961 is a prime.

It is not a weakly prime, because it can be changed into another prime (12135054553561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6067527276980 + 6067527276981.

It is an arithmetic number, because the mean of its divisors is an integer number (6067527276981).

Almost surely, 212135054553961 is an apocalyptic number.

It is an amenable number.

12135054553961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12135054553961 is an equidigital number, since it uses as much as digits as its factorization.

12135054553961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430000, while the sum is 50.

The spelling of 12135054553961 in words is "twelve trillion, one hundred thirty-five billion, fifty-four million, five hundred fifty-three thousand, nine hundred sixty-one".