Search a number
-
+
41000101 is a prime number
BaseRepresentation
bin1001110001100…
…1110010100101
32212011000120021
42130121302211
540444000401
64022435141
71005331552
oct234316245
985130507
1041000101
1121163a8a
1211892ab1
138656b1c
145633a29
1538ed2a1
hex2719ca5

41000101 has 2 divisors, whose sum is σ = 41000102. Its totient is φ = 41000100.

The previous prime is 41000087. The next prime is 41000117. The reversal of 41000101 is 10100014.

It is a happy number.

41000101 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., 40947201 + 52900 = 6399^2 + 230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41000161) 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, 20500050 + 20500051.

It is an arithmetic number, because the mean of its divisors is an integer number (20500051).

Almost surely, 241000101 is an apocalyptic number.

It is an amenable number.

41000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41000101 is an equidigital number, since it uses as much as digits as its factorization.

41000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 41000101 is about 6403.1321242030. The cubic root of 41000101 is about 344.8220071843.

Adding to 41000101 its reverse (10100014), we get a palindrome (51100115).

The spelling of 41000101 in words is "forty-one million, one hundred one", and thus it is an aban number.