Search a number
-
+
1013010212033 is a prime number
BaseRepresentation
bin11101011110111000001…
…11010010010011000001
310120211202102102200012222
432233130013102103001
5113044121103241113
62053212004300425
7133121223505241
oct16573407222301
93524672380188
101013010212033
11360684945846
121443b30a1715
13746ac804761
143705c2adb21
151b53da33e08
hexebdc1d24c1

1013010212033 has 2 divisors, whose sum is σ = 1013010212034. Its totient is φ = 1013010212032.

The previous prime is 1013010212029. The next prime is 1013010212041. The reversal of 1013010212033 is 3302120103101.

1013010212033 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., 991434421264 + 21575790769 = 995708^2 + 146887^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013010212033 - 22 = 1013010212029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1013010212063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506505106016 + 506505106017.

It is an arithmetic number, because the mean of its divisors is an integer number (506505106017).

Almost surely, 21013010212033 is an apocalyptic number.

It is an amenable number.

1013010212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013010212033 is an equidigital number, since it uses as much as digits as its factorization.

1013010212033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1013010212033 its reverse (3302120103101), we get a palindrome (4315130315134).

It can be divided in two parts, 1013010 and 212033, that added together give a cube (1225043 = 1073).

The spelling of 1013010212033 in words is "one trillion, thirteen billion, ten million, two hundred twelve thousand, thirty-three".