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41112211313 is a prime number
BaseRepresentation
bin100110010010011110…
…101000111101110001
310221010011212201121002
4212102132220331301
51133144211230223
630515305211345
72653541013245
oct462236507561
9127104781532
1041112211313
1116487853948
127b74490b55
133b5261a474
141dc01a8425
151109480e28
hex9927a8f71

41112211313 has 2 divisors, whose sum is σ = 41112211314. Its totient is φ = 41112211312.

The previous prime is 41112211279. The next prime is 41112211331. The reversal of 41112211313 is 31311221114.

Together with next prime (41112211331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22847229409 + 18264981904 = 151153^2 + 135148^2 .

It is a cyclic number.

It is not a de Polignac number, because 41112211313 - 26 = 41112211249 is a prime.

It is not a weakly prime, because it can be changed into another prime (41112211013) 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, 20556105656 + 20556105657.

It is an arithmetic number, because the mean of its divisors is an integer number (20556105657).

Almost surely, 241112211313 is an apocalyptic number.

It is an amenable number.

41112211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

41112211313 is an equidigital number, since it uses as much as digits as its factorization.

41112211313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 20.

Adding to 41112211313 its reverse (31311221114), we get a palindrome (72423432427).

The spelling of 41112211313 in words is "forty-one billion, one hundred twelve million, two hundred eleven thousand, three hundred thirteen".