Search a number
-
+
20013416321 is a prime number
BaseRepresentation
bin10010101000111001…
…000111111110000001
31220122202202212222112
4102220321013332001
5311441413310241
613105524545105
71305644142353
oct225071077601
956582685875
1020013416321
118540062998
123a66552195
131b6c3c44a2
14d7bdb90d3
157c201b1eb
hex4a8e47f81

20013416321 has 2 divisors, whose sum is σ = 20013416322. Its totient is φ = 20013416320.

The previous prime is 20013416317. The next prime is 20013416323. The reversal of 20013416321 is 12361431002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14421367921 + 5592048400 = 120089^2 + 74780^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013416321 - 22 = 20013416317 is a prime.

Together with 20013416323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20013416323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006708160 + 10006708161.

It is an arithmetic number, because the mean of its divisors is an integer number (10006708161).

Almost surely, 220013416321 is an apocalyptic number.

It is an amenable number.

20013416321 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013416321 is an equidigital number, since it uses as much as digits as its factorization.

20013416321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20013416321 its reverse (12361431002), we get a palindrome (32374847323).

The spelling of 20013416321 in words is "twenty billion, thirteen million, four hundred sixteen thousand, three hundred twenty-one".