Search a number
-
+
10133121029 is a prime number
BaseRepresentation
bin10010110111111101…
…10010100000000101
3222011012020212211212
421123332302200011
5131223034333104
64353255541205
7506052051623
oct113376624005
928135225755
1010133121029
11432a978899
121b6968a805
13c56459705
146c1ad6513
153e490636e
hex25bfb2805

10133121029 has 2 divisors, whose sum is σ = 10133121030. Its totient is φ = 10133121028.

The previous prime is 10133121023. The next prime is 10133121041. The reversal of 10133121029 is 92012133101.

10133121029 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., 9764404225 + 368716804 = 98815^2 + 19202^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133121029 - 220 = 10132072453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133120995 and 10133121013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133121023) 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, 5066560514 + 5066560515.

It is an arithmetic number, because the mean of its divisors is an integer number (5066560515).

Almost surely, 210133121029 is an apocalyptic number.

It is an amenable number.

10133121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133121029 is an equidigital number, since it uses as much as digits as its factorization.

10133121029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 10133121029 in words is "ten billion, one hundred thirty-three million, one hundred twenty-one thousand, twenty-nine".