Search a number
-
+
12335536351813 is a prime number
BaseRepresentation
bin1011001110000001011101…
…0000110010101001000101
31121200021011201220211211211
42303200113100302221011
53104101134301224223
642122511150331421
72412133042650163
oct263402720625105
947607151824754
1012335536351813
113a265207581a4
1214728621b9b71
136b630b8b43ac
14309086566233
15165d202a8d0d
hexb3817432a45

12335536351813 has 2 divisors, whose sum is σ = 12335536351814. Its totient is φ = 12335536351812.

The previous prime is 12335536351771. The next prime is 12335536351843. The reversal of 12335536351813 is 31815363553321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9016555606564 + 3318980745249 = 3002758^2 + 1821807^2 .

It is a cyclic number.

It is not a de Polignac number, because 12335536351813 - 29 = 12335536351301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12335536351843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6167768175906 + 6167768175907.

It is an arithmetic number, because the mean of its divisors is an integer number (6167768175907).

Almost surely, 212335536351813 is an apocalyptic number.

It is an amenable number.

12335536351813 is a deficient number, since it is larger than the sum of its proper divisors (1).

12335536351813 is an equidigital number, since it uses as much as digits as its factorization.

12335536351813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916000, while the sum is 49.

The spelling of 12335536351813 in words is "twelve trillion, three hundred thirty-five billion, five hundred thirty-six million, three hundred fifty-one thousand, eight hundred thirteen".