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41144212200361 is a prime number
BaseRepresentation
bin10010101101011101000100…
…01001110001101110101001
312101200100101220001021011111
421112232202021301232221
520343101321310402421
6223301220134430321
711444366635215424
oct1126564211615651
9171610356037144
1041144212200361
1112123187183626
1247460355023a1
1319c5b61cb322a
14a235677409bb
154b53c6d93ee1
hex256ba2271ba9

41144212200361 has 2 divisors, whose sum is σ = 41144212200362. Its totient is φ = 41144212200360.

The previous prime is 41144212200349. The next prime is 41144212200433. The reversal of 41144212200361 is 16300221244114.

It is a happy number.

41144212200361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40169166547225 + 975045653136 = 6337915^2 + 987444^2 .

It is a cyclic number.

It is not a de Polignac number, because 41144212200361 - 221 = 41144210103209 is a prime.

It is a super-2 number, since 2×411442122003612 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41144212200341) 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, 20572106100180 + 20572106100181.

It is an arithmetic number, because the mean of its divisors is an integer number (20572106100181).

Almost surely, 241144212200361 is an apocalyptic number.

It is an amenable number.

41144212200361 is a deficient number, since it is larger than the sum of its proper divisors (1).

41144212200361 is an equidigital number, since it uses as much as digits as its factorization.

41144212200361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 41144212200361 its reverse (16300221244114), we get a palindrome (57444433444475).

The spelling of 41144212200361 in words is "forty-one trillion, one hundred forty-four billion, two hundred twelve million, two hundred thousand, three hundred sixty-one".