Search a number
-
+
10426731041 is a prime number
BaseRepresentation
bin10011011010111101…
…10100101000100001
3222220122201211001202
421231132310220201
5132323220343131
64442345010545
7516245515526
oct115536645041
928818654052
1010426731041
1144706883a1
12202ba83a55
13ca222ab4c
1470cac514d
154105a1bcb
hex26d7b4a21

10426731041 has 2 divisors, whose sum is σ = 10426731042. Its totient is φ = 10426731040.

The previous prime is 10426731019. The next prime is 10426731067. The reversal of 10426731041 is 14013762401.

It is a happy number.

10426731041 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., 10389521041 + 37210000 = 101929^2 + 6100^2 .

It is a cyclic number.

It is not a de Polignac number, because 10426731041 - 222 = 10422536737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10426730995 and 10426731013.

It is not a weakly prime, because it can be changed into another prime (10426731001) 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, 5213365520 + 5213365521.

It is an arithmetic number, because the mean of its divisors is an integer number (5213365521).

Almost surely, 210426731041 is an apocalyptic number.

It is an amenable number.

10426731041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10426731041 is an equidigital number, since it uses as much as digits as its factorization.

10426731041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 10426731041 in words is "ten billion, four hundred twenty-six million, seven hundred thirty-one thousand, forty-one".