Search a number
-
+
13065155221093 is a prime number
BaseRepresentation
bin1011111000011111011111…
…1011111001011001100101
31201021000110010112200220021
42332013313323321121211
53203024414214033333
643442014403035141
72515632504010243
oct276076773713145
951230403480807
1013065155221093
1141879a0572758
12157014606bab1
1373a067480691
143324dd423793
15179cc47a282d
hexbe1f7ef9665

13065155221093 has 2 divisors, whose sum is σ = 13065155221094. Its totient is φ = 13065155221092.

The previous prime is 13065155221073. The next prime is 13065155221127. The reversal of 13065155221093 is 39012255156031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12739745441284 + 325409779809 = 3569278^2 + 570447^2 .

It is a cyclic number.

It is not a de Polignac number, because 13065155221093 - 229 = 13064618350181 is a prime.

It is a super-2 number, since 2×130651552210932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13065155221043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6532577610546 + 6532577610547.

It is an arithmetic number, because the mean of its divisors is an integer number (6532577610547).

Almost surely, 213065155221093 is an apocalyptic number.

It is an amenable number.

13065155221093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13065155221093 is an equidigital number, since it uses as much as digits as its factorization.

13065155221093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243000, while the sum is 43.

The spelling of 13065155221093 in words is "thirteen trillion, sixty-five billion, one hundred fifty-five million, two hundred twenty-one thousand, ninety-three".