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41112211013 is a prime number
BaseRepresentation
bin100110010010011110…
…101000111001000101
310221010011212201011222
4212102132220321011
51133144211223023
630515305210125
72653541012336
oct462236507105
9127104781158
1041112211013
11164878536a5
127b74490945
133b5261a2a3
141dc01a828d
151109480cc8
hex9927a8e45

41112211013 has 2 divisors, whose sum is σ = 41112211014. Its totient is φ = 41112211012.

The previous prime is 41112211009. The next prime is 41112211027. The reversal of 41112211013 is 31011221114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31422171169 + 9690039844 = 177263^2 + 98438^2 .

It is a cyclic number.

It is not a de Polignac number, because 41112211013 - 22 = 41112211009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41112210982 and 41112211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41112211313) 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, 20556105506 + 20556105507.

It is an arithmetic number, because the mean of its divisors is an integer number (20556105507).

Almost surely, 241112211013 is an apocalyptic number.

It is an amenable number.

41112211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

41112211013 is an equidigital number, since it uses as much as digits as its factorization.

41112211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 41112211013 its reverse (31011221114), we get a palindrome (72123432127).

The spelling of 41112211013 in words is "forty-one billion, one hundred twelve million, two hundred eleven thousand, thirteen".