Search a number
-
+
1461338201 is a prime number
BaseRepresentation
bin101011100011010…
…0100000001011001
310202211202200011002
41113012210001121
510443100310301
6401001314345
751133112141
oct12706440131
93684680132
101461338201
1168a984024
123494959b5
131a39a687b
14dc11b921
158845e16b
hex571a4059

1461338201 has 2 divisors, whose sum is σ = 1461338202. Its totient is φ = 1461338200.

The previous prime is 1461338167. The next prime is 1461338209. The reversal of 1461338201 is 1028331641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 738534976 + 722803225 = 27176^2 + 26885^2 .

It is a cyclic number.

It is not a de Polignac number, because 1461338201 - 226 = 1394229337 is a prime.

It is not a weakly prime, because it can be changed into another prime (1461338209) 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, 730669100 + 730669101.

It is an arithmetic number, because the mean of its divisors is an integer number (730669101).

Almost surely, 21461338201 is an apocalyptic number.

It is an amenable number.

1461338201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1461338201 is an equidigital number, since it uses as much as digits as its factorization.

1461338201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1461338201 is about 38227.4534987619. The cubic root of 1461338201 is about 1134.7936905638.

Adding to 1461338201 its reverse (1028331641), we get a palindrome (2489669842).

The spelling of 1461338201 in words is "one billion, four hundred sixty-one million, three hundred thirty-eight thousand, two hundred one".