Search a number
-
+
1036048313 is a prime number
BaseRepresentation
bin111101110000001…
…101011110111001
32200012111201002202
4331300031132321
54110212021223
6250450035545
734450160006
oct7560153671
92605451082
101036048313
11491905483
1224ab78bb5
1313684c151
149b8528ad
1560e52428
hex3dc0d7b9

1036048313 has 2 divisors, whose sum is σ = 1036048314. Its totient is φ = 1036048312.

The previous prime is 1036048291. The next prime is 1036048331. The reversal of 1036048313 is 3138406301.

Together with next prime (1036048331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 548168569 + 487879744 = 23413^2 + 22088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1036048313 is a prime.

It is a super-3 number, since 3×10360483133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1036048333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518024156 + 518024157.

It is an arithmetic number, because the mean of its divisors is an integer number (518024157).

Almost surely, 21036048313 is an apocalyptic number.

It is an amenable number.

1036048313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1036048313 is an equidigital number, since it uses as much as digits as its factorization.

1036048313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1036048313 is about 32187.7043760502. The cubic root of 1036048313 is about 1011.8745414759.

The spelling of 1036048313 in words is "one billion, thirty-six million, forty-eight thousand, three hundred thirteen".