Search a number
-
+
1009030313 is a prime number
BaseRepresentation
bin111100001001001…
…001010010101001
32121022200001101002
4330021021102221
54031302432223
6244043004345
734001421224
oct7411112251
92538601332
101009030313
11478631455
12241b096b5
1313107c575
149801c5bb
155d8b6e28
hex3c2494a9

1009030313 has 2 divisors, whose sum is σ = 1009030314. Its totient is φ = 1009030312.

The previous prime is 1009030279. The next prime is 1009030343. The reversal of 1009030313 is 3130309001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 944517289 + 64513024 = 30733^2 + 8032^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009030313 - 26 = 1009030249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009030343) 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, 504515156 + 504515157.

It is an arithmetic number, because the mean of its divisors is an integer number (504515157).

Almost surely, 21009030313 is an apocalyptic number.

It is an amenable number.

1009030313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009030313 is an equidigital number, since it uses as much as digits as its factorization.

1009030313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

The square root of 1009030313 is about 31765.2374932095. The cubic root of 1009030313 is about 1003.0010887896.

Adding to 1009030313 its reverse (3130309001), we get a palindrome (4139339314).

The spelling of 1009030313 in words is "one billion, nine million, thirty thousand, three hundred thirteen".