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41112240320401 is a prime number
BaseRepresentation
bin10010101100100001100000…
…11110101110111110010001
312101120021212201022111000021
421112100300132232332101
520342040332010223101
6223234411422223441
711442155432553415
oct1126206036567621
9171507781274007
1041112240320401
111211066a959a38
12473b9b2124b81
1319c2b3823b173
14a21bb347ad45
154b46550ae5a1
hex2564307aef91

41112240320401 has 2 divisors, whose sum is σ = 41112240320402. Its totient is φ = 41112240320400.

The previous prime is 41112240320353. The next prime is 41112240320419. The reversal of 41112240320401 is 10402304221114.

41112240320401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23312287758400 + 17799952562001 = 4828280^2 + 4218999^2 .

It is a cyclic number.

It is not a de Polignac number, because 41112240320401 - 217 = 41112240189329 is a prime.

It is not a weakly prime, because it can be changed into another prime (41112240300401) 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, 20556120160200 + 20556120160201.

It is an arithmetic number, because the mean of its divisors is an integer number (20556120160201).

Almost surely, 241112240320401 is an apocalyptic number.

It is an amenable number.

41112240320401 is a deficient number, since it is larger than the sum of its proper divisors (1).

41112240320401 is an equidigital number, since it uses as much as digits as its factorization.

41112240320401 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 25.

Adding to 41112240320401 its reverse (10402304221114), we get a palindrome (51514544541515).

The spelling of 41112240320401 in words is "forty-one trillion, one hundred twelve billion, two hundred forty million, three hundred twenty thousand, four hundred one".