Search a number
-
+
10010127329 is a prime number
BaseRepresentation
bin10010101001010011…
…00110101111100001
3221211121211011012122
421110221212233201
5131000043033304
64333143434025
7503026451456
oct112451465741
927747734178
1010010127329
114277501904
121b34455915
13c36b24c87
146ad63b82d
153d8c0d9be
hex254a66be1

10010127329 has 2 divisors, whose sum is σ = 10010127330. Its totient is φ = 10010127328.

The previous prime is 10010127307. The next prime is 10010127343. The reversal of 10010127329 is 92372101001.

10010127329 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., 5409896704 + 4600230625 = 73552^2 + 67825^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010127329 - 28 = 10010127073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010127298 and 10010127307.

It is not a weakly prime, because it can be changed into another prime (10010127359) 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, 5005063664 + 5005063665.

It is an arithmetic number, because the mean of its divisors is an integer number (5005063665).

Almost surely, 210010127329 is an apocalyptic number.

It is an amenable number.

10010127329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010127329 is an equidigital number, since it uses as much as digits as its factorization.

10010127329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 10010127329 in words is "ten billion, ten million, one hundred twenty-seven thousand, three hundred twenty-nine".