Search a number
-
+
5101076405309 is a prime number
BaseRepresentation
bin100101000111010111111…
…0110001101110000111101
3200001122202210012112011012
41022032233312031300331
51132034001024432214
614503222510405005
71034353300013423
oct112165766156075
920048683175135
105101076405309
111697399711925
126a4758200765
132b004c8b3011
14138c71763113
158ca561d103e
hex4a3afd8dc3d

5101076405309 has 2 divisors, whose sum is σ = 5101076405310. Its totient is φ = 5101076405308.

The previous prime is 5101076405287. The next prime is 5101076405377. The reversal of 5101076405309 is 9035046701015.

5101076405309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2726534093284 + 2374542312025 = 1651222^2 + 1540955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5101076405309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5101076405389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2550538202654 + 2550538202655.

It is an arithmetic number, because the mean of its divisors is an integer number (2550538202655).

Almost surely, 25101076405309 is an apocalyptic number.

It is an amenable number.

5101076405309 is a deficient number, since it is larger than the sum of its proper divisors (1).

5101076405309 is an equidigital number, since it uses as much as digits as its factorization.

5101076405309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 5101076405309 in words is "five trillion, one hundred one billion, seventy-six million, four hundred five thousand, three hundred nine".