Search a number
-
+
21303033322133 is a prime number
BaseRepresentation
bin1001101011111111111111…
…01110111101101010010101
32210102112212000112200121002
410311333333232331222111
510243012103012302013
6113150251200233045
74326044011352123
oct465777756755225
983375760480532
1021303033322133
116873624a3a022
12248080690b785
13bb6b3795b834
14539102604913
1526e21a233358
hex135fffbbda95

21303033322133 has 2 divisors, whose sum is σ = 21303033322134. Its totient is φ = 21303033322132.

The previous prime is 21303033322099. The next prime is 21303033322169. The reversal of 21303033322133 is 33122333030312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18854553205489 + 2448480116644 = 4342183^2 + 1564762^2 .

It is a cyclic number.

It is not a de Polignac number, because 21303033322133 - 212 = 21303033318037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21303033322096 and 21303033322105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21303033322733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10651516661066 + 10651516661067.

It is an arithmetic number, because the mean of its divisors is an integer number (10651516661067).

Almost surely, 221303033322133 is an apocalyptic number.

It is an amenable number.

21303033322133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21303033322133 is an equidigital number, since it uses as much as digits as its factorization.

21303033322133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 21303033322133 its reverse (33122333030312), we get a palindrome (54425366352445).

The spelling of 21303033322133 in words is "twenty-one trillion, three hundred three billion, thirty-three million, three hundred twenty-two thousand, one hundred thirty-three".