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41106721 is a prime number
BaseRepresentation
bin1001110011001…
…1110100100001
32212100102211011
42130303310201
541010403341
64025020521
71006254445
oct234636441
985312734
1041106721
11212270a7
1211924741
138693506
145660825
15391eb81
hex2733d21

41106721 has 2 divisors, whose sum is σ = 41106722. Its totient is φ = 41106720.

The previous prime is 41106701. The next prime is 41106733. The reversal of 41106721 is 12760114.

41106721 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., 24206400 + 16900321 = 4920^2 + 4111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41106721 is a prime.

It is a super-3 number, since 3×411067213 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 41106692 and 41106701.

It is not a weakly prime, because it can be changed into another prime (41106701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20553360 + 20553361.

It is an arithmetic number, because the mean of its divisors is an integer number (20553361).

Almost surely, 241106721 is an apocalyptic number.

It is an amenable number.

41106721 is a deficient number, since it is larger than the sum of its proper divisors (1).

41106721 is an equidigital number, since it uses as much as digits as its factorization.

41106721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 41106721 is about 6411.4523315704. The cubic root of 41106721 is about 345.1206495343.

Adding to 41106721 its reverse (12760114), we get a palindrome (53866835).

The spelling of 41106721 in words is "forty-one million, one hundred six thousand, seven hundred twenty-one".