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36122441 is a prime number
BaseRepresentation
bin1000100111001…
…0111101001001
32111222012200012
42021302331021
533221404231
63330121305
7616015145
oct211627511
974865605
1036122441
1119432363
1210120235
137639934
144b24225
153287e2b
hex2272f49

36122441 has 2 divisors, whose sum is σ = 36122442. Its totient is φ = 36122440.

The previous prime is 36122423. The next prime is 36122473. The reversal of 36122441 is 14422163.

36122441 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., 18524416 + 17598025 = 4304^2 + 4195^2 .

It is a cyclic number.

It is not a de Polignac number, because 36122441 - 26 = 36122377 is a prime.

It is not a weakly prime, because it can be changed into another prime (36121441) 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, 18061220 + 18061221.

It is an arithmetic number, because the mean of its divisors is an integer number (18061221).

Almost surely, 236122441 is an apocalyptic number.

It is an amenable number.

36122441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36122441 is an equidigital number, since it uses as much as digits as its factorization.

36122441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 23.

The square root of 36122441 is about 6010.1947555799. The cubic root of 36122441 is about 330.5666450637.

It can be divided in two parts, 36122 and 441, that added together give a palindrome (36563).

The spelling of 36122441 in words is "thirty-six million, one hundred twenty-two thousand, four hundred forty-one".