Search a number
-
+
36413242321 is a prime number
BaseRepresentation
bin100001111010011001…
…011111101111010001
310110222200221100221111
4201322121133233101
51044033242223241
624421130053321
72426232311221
oct417231375721
9113880840844
1036413242321
11144963649a5
12708287a241
133583c5aa41
141a960a8081
15e31b8dc81
hex87a65fbd1

36413242321 has 2 divisors, whose sum is σ = 36413242322. Its totient is φ = 36413242320.

The previous prime is 36413242319. The next prime is 36413242331. The reversal of 36413242321 is 12324231463.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30942569025 + 5470673296 = 175905^2 + 73964^2 .

It is an emirp because it is prime and its reverse (12324231463) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36413242321 - 21 = 36413242319 is a prime.

Together with 36413242319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (36413242331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18206621160 + 18206621161.

It is an arithmetic number, because the mean of its divisors is an integer number (18206621161).

Almost surely, 236413242321 is an apocalyptic number.

It is an amenable number.

36413242321 is a deficient number, since it is larger than the sum of its proper divisors (1).

36413242321 is an equidigital number, since it uses as much as digits as its factorization.

36413242321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 31.

Adding to 36413242321 its reverse (12324231463), we get a palindrome (48737473784).

The spelling of 36413242321 in words is "thirty-six billion, four hundred thirteen million, two hundred forty-two thousand, three hundred twenty-one".