Search a number
-
+
12338012140093 is a prime number
BaseRepresentation
bin1011001110001010101011…
…0101001011001000111101
31121200111120021112220220001
42303202222311023020331
53104121222101440333
642124000551154301
72412251304545623
oct263425265131075
947614507486801
1012338012140093
113a27581224612
121473233375991
136b66147b7383
1430923d2b3513
15165e17800b7d
hexb38aad4b23d

12338012140093 has 2 divisors, whose sum is σ = 12338012140094. Its totient is φ = 12338012140092.

The previous prime is 12338012140031. The next prime is 12338012140213. The reversal of 12338012140093 is 39004121083321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12234136139289 + 103876000804 = 3497733^2 + 322298^2 .

It is a cyclic number.

It is not a de Polignac number, because 12338012140093 - 213 = 12338012131901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12338012144093) 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, 6169006070046 + 6169006070047.

It is an arithmetic number, because the mean of its divisors is an integer number (6169006070047).

Almost surely, 212338012140093 is an apocalyptic number.

It is an amenable number.

12338012140093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12338012140093 is an equidigital number, since it uses as much as digits as its factorization.

12338012140093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 12338012140093 in words is "twelve trillion, three hundred thirty-eight billion, twelve million, one hundred forty thousand, ninety-three".