Search a number
-
+
10010442037 is a prime number
BaseRepresentation
bin10010101001010101…
…10011100100110101
3221211122102010220111
421110222303210311
5131000133121122
64333154303021
7503032232131
oct112452634465
927748363814
1010010442037
1142776a72a2
121b34587a71
13c36c052ab
146ad6c03c1
153d8c71d77
hex254ab3935

10010442037 has 2 divisors, whose sum is σ = 10010442038. Its totient is φ = 10010442036.

The previous prime is 10010442017. The next prime is 10010442041. The reversal of 10010442037 is 73024401001.

10010442037 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., 6755853636 + 3254588401 = 82194^2 + 57049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010442037 is a prime.

It is a super-2 number, since 2×100104420372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010441999 and 10010442017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010442017) 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, 5005221018 + 5005221019.

It is an arithmetic number, because the mean of its divisors is an integer number (5005221019).

Almost surely, 210010442037 is an apocalyptic number.

It is an amenable number.

10010442037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010442037 is an equidigital number, since it uses as much as digits as its factorization.

10010442037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 10010442037 its reverse (73024401001), we get a palindrome (83034843038).

The spelling of 10010442037 in words is "ten billion, ten million, four hundred forty-two thousand, thirty-seven".