Search a number
-
+
21546330313 is a prime number
BaseRepresentation
bin10100000100010000…
…101110100011001001
32001121121012222122211
4110010100232203021
5323111330032223
613522004345121
71361636533354
oct240420564311
961547188584
1021546330313
119157383962
1242139a51a1
132054b6bba1
14108580929b
158618b7d0d
hex50442e8c9

21546330313 has 2 divisors, whose sum is σ = 21546330314. Its totient is φ = 21546330312.

The previous prime is 21546330283. The next prime is 21546330317. The reversal of 21546330313 is 31303364512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19624647744 + 1921682569 = 140088^2 + 43837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21546330313 is a prime.

It is not a weakly prime, because it can be changed into another prime (21546330317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10773165156 + 10773165157.

It is an arithmetic number, because the mean of its divisors is an integer number (10773165157).

Almost surely, 221546330313 is an apocalyptic number.

It is an amenable number.

21546330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21546330313 is an equidigital number, since it uses as much as digits as its factorization.

21546330313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 21546330313 its reverse (31303364512), we get a palindrome (52849694825).

The spelling of 21546330313 in words is "twenty-one billion, five hundred forty-six million, three hundred thirty thousand, three hundred thirteen".