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1301017313 is a prime number
BaseRepresentation
bin100110110001011…
…1111001011100001
310100200002112020102
41031202333023201
510131030023223
6333033152145
744145315251
oct11542771341
93320075212
101301017313
11608432622
1230385b655
1317970303b
14c4b07961
1579341928
hex4d8bf2e1

1301017313 has 2 divisors, whose sum is σ = 1301017314. Its totient is φ = 1301017312.

The previous prime is 1301017297. The next prime is 1301017339. The reversal of 1301017313 is 3137101031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1148667664 + 152349649 = 33892^2 + 12343^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301017313 - 24 = 1301017297 is a prime.

It is not a weakly prime, because it can be changed into another prime (1301017373) 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, 650508656 + 650508657.

It is an arithmetic number, because the mean of its divisors is an integer number (650508657).

Almost surely, 21301017313 is an apocalyptic number.

It is an amenable number.

1301017313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301017313 is an equidigital number, since it uses as much as digits as its factorization.

1301017313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 1301017313 is about 36069.6175887685. The cubic root of 1301017313 is about 1091.6774981062.

Adding to 1301017313 its reverse (3137101031), we get a palindrome (4438118344).

The spelling of 1301017313 in words is "one billion, three hundred one million, seventeen thousand, three hundred thirteen".