Search a number
-
+
10010010013 is a prime number
BaseRepresentation
bin10010101001010010…
…01010000110011101
3221211121121012021121
421110221022012131
5131000030310023
64333141130541
7503025452443
oct112451120635
927747535247
1010010010013
114277431753
121b343b9a51
13c36ab3763
146ad60ab93
153d8bd8d5d
hex254a4a19d

10010010013 has 2 divisors, whose sum is σ = 10010010014. Its totient is φ = 10010010012.

The previous prime is 10010009987. The next prime is 10010010053. The reversal of 10010010013 is 31001001001.

Adding to 10010010013 its reverse (31001001001), we get a palindrome (41011011014).

It can be divided in two parts, 1001001001 and 3, that multiplied together give a palindrome (3003003003).

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5160698244 + 4849311769 = 71838^2 + 69637^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010013 - 25 = 10010009981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010009978 and 10010010005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010010053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005006 + 5005005007.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005007).

Almost surely, 210010010013 is an apocalyptic number.

It is an amenable number.

10010010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010013 is an equidigital number, since it uses as much as digits as its factorization.

10010010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The spelling of 10010010013 in words is "ten billion, ten million, ten thousand, thirteen".