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241331033430401 is a prime number
BaseRepresentation
bin110110110111110101000010…
…100001010101100110000001
31011122111000120122210010111012
4312313311002201111212001
5223112431424024233101
62213133540215330305
7101555406661016345
oct6667650241254601
91148430518703435
10241331033430401
116a993a09980152
12230976a2980995
13a48755a159535
1443846ad063625
151cd78923e1bbb
hexdb7d42855981

241331033430401 has 2 divisors, whose sum is σ = 241331033430402. Its totient is φ = 241331033430400.

The previous prime is 241331033430367. The next prime is 241331033430413. The reversal of 241331033430401 is 104034330133142.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239772093899776 + 1558939530625 = 15484576^2 + 1248575^2 .

It is a cyclic number.

It is not a de Polignac number, because 241331033430401 - 218 = 241331033168257 is a prime.

It is a super-2 number, since 2×2413310334304012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (241331033430451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120665516715200 + 120665516715201.

It is an arithmetic number, because the mean of its divisors is an integer number (120665516715201).

Almost surely, 2241331033430401 is an apocalyptic number.

It is an amenable number.

241331033430401 is a deficient number, since it is larger than the sum of its proper divisors (1).

241331033430401 is an equidigital number, since it uses as much as digits as its factorization.

241331033430401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 241331033430401 its reverse (104034330133142), we get a palindrome (345365363563543).

The spelling of 241331033430401 in words is "two hundred forty-one trillion, three hundred thirty-one billion, thirty-three million, four hundred thirty thousand, four hundred one".