Search a number
-
+
10031310073 is a prime number
BaseRepresentation
bin10010101011110100…
…11010010011111001
3221220002200100110201
421111322122103321
5131021003410243
64335221442201
7503404504651
oct112572322371
927802610421
1010031310073
11428845a804
121b3b570361
13c3b330845
146b2393361
153da9e504d
hex255e9a4f9

10031310073 has 2 divisors, whose sum is σ = 10031310074. Its totient is φ = 10031310072.

The previous prime is 10031309927. The next prime is 10031310109. The reversal of 10031310073 is 37001313001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10015405929 + 15904144 = 100077^2 + 3988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10031310073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10031310073.

It is not a weakly prime, because it can be changed into another prime (10031110073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015655036 + 5015655037.

It is an arithmetic number, because the mean of its divisors is an integer number (5015655037).

Almost surely, 210031310073 is an apocalyptic number.

It is an amenable number.

10031310073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031310073 is an equidigital number, since it uses as much as digits as its factorization.

10031310073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 19.

Adding to 10031310073 its reverse (37001313001), we get a palindrome (47032623074).

The spelling of 10031310073 in words is "ten billion, thirty-one million, three hundred ten thousand, seventy-three".