Search a number
-
+
21300333333133 is a prime number
BaseRepresentation
bin1001101011111010111101…
…10011010100101010001101
32210102021212212001000222111
410311331132303110222031
510242441040313130013
6113145123230144021
74325620055003101
oct465753663245215
983367785030874
1021300333333133
116872469960358
122480192652011
13bb67c747a0ca
14538d27bb5901
1526e10d1a173d
hex135f5ecd4a8d

21300333333133 has 2 divisors, whose sum is σ = 21300333333134. Its totient is φ = 21300333333132.

The previous prime is 21300333333131. The next prime is 21300333333163. The reversal of 21300333333133 is 33133333300312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12607023105769 + 8693310227364 = 3550637^2 + 2948442^2 .

It is a cyclic number.

It is not a de Polignac number, because 21300333333133 - 21 = 21300333333131 is a prime.

Together with 21300333333131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 21300333333095 and 21300333333104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21300333333131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10650166666566 + 10650166666567.

It is an arithmetic number, because the mean of its divisors is an integer number (10650166666567).

Almost surely, 221300333333133 is an apocalyptic number.

It is an amenable number.

21300333333133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21300333333133 is an equidigital number, since it uses as much as digits as its factorization.

21300333333133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39366, while the sum is 31.

Adding to 21300333333133 its reverse (33133333300312), we get a palindrome (54433666633445).

The spelling of 21300333333133 in words is "twenty-one trillion, three hundred billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred thirty-three".