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36122201 is a prime number
BaseRepresentation
bin1000100111001…
…0111001011001
32111222012100022
42021302321121
533221402301
63330120225
7616014353
oct211627131
974865308
1036122201
1119432165
1210120075
1376397ab
144b240d3
153287d1b
hex2272e59

36122201 has 2 divisors, whose sum is σ = 36122202. Its totient is φ = 36122200.

The previous prime is 36122183. The next prime is 36122243. The reversal of 36122201 is 10222163.

36122201 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., 26512201 + 9610000 = 5149^2 + 3100^2 .

It is a cyclic number.

It is not a de Polignac number, because 36122201 - 218 = 35860057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36122201.

It is not a weakly prime, because it can be changed into another prime (36122291) 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, 18061100 + 18061101.

It is an arithmetic number, because the mean of its divisors is an integer number (18061101).

Almost surely, 236122201 is an apocalyptic number.

It is an amenable number.

36122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

36122201 is an equidigital number, since it uses as much as digits as its factorization.

36122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 36122201 is about 6010.1747894716. The cubic root of 36122201 is about 330.5659129595.

Adding to 36122201 its reverse (10222163), we get a palindrome (46344364).

It can be divided in two parts, 361 and 22201, that multiplied together give a square (8014561 = 28312).

The spelling of 36122201 in words is "thirty-six million, one hundred twenty-two thousand, two hundred one".