Search a number
-
+
10013002709 is a prime number
BaseRepresentation
bin10010101001101001…
…00100101111010101
3221211211020020111012
421110310210233111
5131001312041314
64333325222005
7503063055503
oct112464445725
927754206435
1010013002709
114279096156
121b35401905
13c375c0998
146adb89673
153d90ca93e
hex254d24bd5

10013002709 has 2 divisors, whose sum is σ = 10013002710. Its totient is φ = 10013002708.

The previous prime is 10013002693. The next prime is 10013002723. The reversal of 10013002709 is 90720031001.

10013002709 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9668788900 + 344213809 = 98330^2 + 18553^2 .

It is an emirp because it is prime and its reverse (90720031001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10013002709 - 24 = 10013002693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013002729) 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, 5006501354 + 5006501355.

It is an arithmetic number, because the mean of its divisors is an integer number (5006501355).

Almost surely, 210013002709 is an apocalyptic number.

It is an amenable number.

10013002709 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013002709 is an equidigital number, since it uses as much as digits as its factorization.

10013002709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The spelling of 10013002709 in words is "ten billion, thirteen million, two thousand, seven hundred nine".