Search a number
-
+
10134335033 is a prime number
BaseRepresentation
bin10010111000000110…
…11010111000111001
3222011021112120010222
421130003122320321
5131223342210113
64353341545425
7506065266164
oct113403327071
928137476128
1010134335033
1143306279a9
121b69b75275
13c56793164
146c1d30adb
153e4a95e08
hex25c0dae39

10134335033 has 2 divisors, whose sum is σ = 10134335034. Its totient is φ = 10134335032.

The previous prime is 10134335021. The next prime is 10134335177. The reversal of 10134335033 is 33053343101.

10134335033 is digitally balanced in base 2, 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., 9272149264 + 862185769 = 96292^2 + 29363^2 .

It is a cyclic number.

It is not a de Polignac number, because 10134335033 - 218 = 10134072889 is a prime.

It is a super-3 number, since 3×101343350333 (a number of 31 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 a junction number, because it is equal to n+sod(n) for n = 10134334993 and 10134335011.

It is not a weakly prime, because it can be changed into another prime (10134331033) 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, 5067167516 + 5067167517.

It is an arithmetic number, because the mean of its divisors is an integer number (5067167517).

Almost surely, 210134335033 is an apocalyptic number.

It is an amenable number.

10134335033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10134335033 is an equidigital number, since it uses as much as digits as its factorization.

10134335033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 10134335033 its reverse (33053343101), we get a palindrome (43187678134).

The spelling of 10134335033 in words is "ten billion, one hundred thirty-four million, three hundred thirty-five thousand, thirty-three".