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1040041322081 is a prime number
BaseRepresentation
bin11110010001001110100…
…10110010011001100001
310200102112021020100012222
433020213102302121201
5114020001034301311
62113442143000425
7135066123242246
oct17104722623141
93612467210188
101040041322081
11371096237913
12149697899115
13770c9a88628
14384a42cd5cd
151c0c1bb1adb
hexf2274b2661

1040041322081 has 2 divisors, whose sum is σ = 1040041322082. Its totient is φ = 1040041322080.

The previous prime is 1040041322071. The next prime is 1040041322119. The reversal of 1040041322081 is 1802231400401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 711001417681 + 329039904400 = 843209^2 + 573620^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040041322081 - 214 = 1040041305697 is a prime.

It is a super-2 number, since 2×10400413220812 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1040041322081.

It is not a weakly prime, because it can be changed into another prime (1040041322071) 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, 520020661040 + 520020661041.

It is an arithmetic number, because the mean of its divisors is an integer number (520020661041).

Almost surely, 21040041322081 is an apocalyptic number.

It is an amenable number.

1040041322081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040041322081 is an equidigital number, since it uses as much as digits as its factorization.

1040041322081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1040041322081 its reverse (1802231400401), we get a palindrome (2842272722482).

The spelling of 1040041322081 in words is "one trillion, forty billion, forty-one million, three hundred twenty-two thousand, eighty-one".