Search a number
-
+
10404110081 is a prime number
BaseRepresentation
bin10011011000010001…
…00001111100000001
3222212002011112221102
421230020201330001
5132301423010311
64440220104145
7515552322311
oct115410417401
928762145842
1010404110081
114459937992
122024395055
13c9a63a771
14709ab7441
1540d5d443b
hex26c221f01

10404110081 has 2 divisors, whose sum is σ = 10404110082. Its totient is φ = 10404110080.

The previous prime is 10404110077. The next prime is 10404110141. The reversal of 10404110081 is 18001140401.

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., 7903210000 + 2500900081 = 88900^2 + 50009^2 .

It is a cyclic number.

It is not a de Polignac number, because 10404110081 - 22 = 10404110077 is a prime.

It is a super-2 number, since 2×104041100812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10404110071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202055040 + 5202055041.

It is an arithmetic number, because the mean of its divisors is an integer number (5202055041).

Almost surely, 210404110081 is an apocalyptic number.

It is an amenable number.

10404110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10404110081 is an equidigital number, since it uses as much as digits as its factorization.

10404110081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10404110081 its reverse (18001140401), we get a palindrome (28405250482).

The spelling of 10404110081 in words is "ten billion, four hundred four million, one hundred ten thousand, eighty-one".