Search a number
-
+
1314055131241 is a prime number
BaseRepresentation
bin10011000111110011110…
…010100001000001101001
311122121210202120002122111
4103013303302201001221
5133012141103144431
62443400225522321
7163636340215366
oct23076362410151
94577722502574
101314055131241
11467318956336
1219280a4a33a1
1396bb7c6a148
144785a0d346d
15242acce87b1
hex131f3ca1069

1314055131241 has 2 divisors, whose sum is σ = 1314055131242. Its totient is φ = 1314055131240.

The previous prime is 1314055131127. The next prime is 1314055131269. The reversal of 1314055131241 is 1421315504131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1294977996841 + 19077134400 = 1137971^2 + 138120^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314055131241 - 27 = 1314055131113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1314055131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 657027565620 + 657027565621.

It is an arithmetic number, because the mean of its divisors is an integer number (657027565621).

Almost surely, 21314055131241 is an apocalyptic number.

It is an amenable number.

1314055131241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314055131241 is an equidigital number, since it uses as much as digits as its factorization.

1314055131241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 1314055131241 in words is "one trillion, three hundred fourteen billion, fifty-five million, one hundred thirty-one thousand, two hundred forty-one".