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110401441441 is a prime number
BaseRepresentation
bin110011011010001110…
…0000100111010100001
3101112222001210022111121
41212310130010322201
53302100232111231
6122415010012241
710655564524444
oct1466434047241
9345861708447
10110401441441
114290380aaa5
1219491277081
13a545724615
1454b464165b
152d12493311
hex19b4704ea1

110401441441 has 2 divisors, whose sum is σ = 110401441442. Its totient is φ = 110401441440.

The previous prime is 110401441411. The next prime is 110401441483. The reversal of 110401441441 is 144144104011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99931854400 + 10469587041 = 316120^2 + 102321^2 .

It is a cyclic number.

It is not a de Polignac number, because 110401441441 - 213 = 110401433249 is a prime.

It is not a weakly prime, because it can be changed into another prime (110401441411) 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, 55200720720 + 55200720721.

It is an arithmetic number, because the mean of its divisors is an integer number (55200720721).

Almost surely, 2110401441441 is an apocalyptic number.

It is an amenable number.

110401441441 is a deficient number, since it is larger than the sum of its proper divisors (1).

110401441441 is an equidigital number, since it uses as much as digits as its factorization.

110401441441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 110401441441 its reverse (144144104011), we get a palindrome (254545545452).

The spelling of 110401441441 in words is "one hundred ten billion, four hundred one million, four hundred forty-one thousand, four hundred forty-one".