Search a number
-
+
21214053045193 is a prime number
BaseRepresentation
bin1001101001011010010000…
…00110001001001111001001
32210010001011211110021112111
410310231020012021033021
510240032340034421233
6113041333524142321
74316444003443111
oct464551006111711
983101154407474
1021214053045193
116839913992a68
1224675135379a1
13bab627190aa8
14534aa0d0a041
1526bc5d681acd
hex134b481893c9

21214053045193 has 2 divisors, whose sum is σ = 21214053045194. Its totient is φ = 21214053045192.

The previous prime is 21214053045191. The next prime is 21214053045319. The reversal of 21214053045193 is 39154035041212.

It is a happy number.

Together with next prime (21214053045319) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20355545170944 + 858507874249 = 4511712^2 + 926557^2 .

It is a cyclic number.

It is not a de Polignac number, because 21214053045193 - 21 = 21214053045191 is a prime.

Together with 21214053045191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21214053045191) 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, 10607026522596 + 10607026522597.

It is an arithmetic number, because the mean of its divisors is an integer number (10607026522597).

Almost surely, 221214053045193 is an apocalyptic number.

It is an amenable number.

21214053045193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21214053045193 is an equidigital number, since it uses as much as digits as its factorization.

21214053045193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 21214053045193 in words is "twenty-one trillion, two hundred fourteen billion, fifty-three million, forty-five thousand, one hundred ninety-three".