Search a number
-
+
21332203120049 is a prime number
BaseRepresentation
bin1001101100110110010100…
…11000111010010110110001
32210112100010220122221210212
410312123022120322112301
510244001322444320144
6113211513454233505
74331125610504543
oct466331230722661
983470126587725
1021332203120049
116884a33593a28
1224863a77b5895
13bb9806027aa3
1453a6ac6a1693
1526ed7601b49e
hex1366ca63a5b1

21332203120049 has 2 divisors, whose sum is σ = 21332203120050. Its totient is φ = 21332203120048.

The previous prime is 21332203119991. The next prime is 21332203120051. The reversal of 21332203120049 is 94002130223312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21326431983025 + 5771137024 = 4618055^2 + 75968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21332203120049 is a prime.

Together with 21332203120051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 21332203119997 and 21332203120024.

It is not a weakly prime, because it can be changed into another prime (21332203170049) 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, 10666101560024 + 10666101560025.

It is an arithmetic number, because the mean of its divisors is an integer number (10666101560025).

Almost surely, 221332203120049 is an apocalyptic number.

It is an amenable number.

21332203120049 is a deficient number, since it is larger than the sum of its proper divisors (1).

21332203120049 is an equidigital number, since it uses as much as digits as its factorization.

21332203120049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 21332203120049 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred three million, one hundred twenty thousand, forty-nine".