Search a number
-
+
10363303073 is a prime number
BaseRepresentation
bin10011010011011001…
…10111010010100001
3222202020101100020202
421221230313102201
5132211001144243
64432201314545
7514545423404
oct115154672241
928666340222
1010363303073
1144388a5a92
122012795a55
13c920507c6
147044d3d3b
15409c234b8
hex269b374a1

10363303073 has 2 divisors, whose sum is σ = 10363303074. Its totient is φ = 10363303072.

The previous prime is 10363303063. The next prime is 10363303081. The reversal of 10363303073 is 37030336301.

10363303073 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., 8261355664 + 2101947409 = 90892^2 + 45847^2 .

It is a cyclic number.

It is not a de Polignac number, because 10363303073 - 228 = 10094867617 is a prime.

It is a super-3 number, since 3×103633030733 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10363303063) 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, 5181651536 + 5181651537.

It is an arithmetic number, because the mean of its divisors is an integer number (5181651537).

Almost surely, 210363303073 is an apocalyptic number.

It is an amenable number.

10363303073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10363303073 is an equidigital number, since it uses as much as digits as its factorization.

10363303073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 29.

Adding to 10363303073 its reverse (37030336301), we get a palindrome (47393639374).

The spelling of 10363303073 in words is "ten billion, three hundred sixty-three million, three hundred three thousand, seventy-three".