Search a number
-
+
224345016036101 is a prime number
BaseRepresentation
bin110011000000101001100100…
…111111001110101100000101
31002102100011200220022212100202
4303000221210333032230011
5213401132043101123401
62113050402204420245
765153251431303032
oct6300514477165405
91072304626285322
10224345016036101
1165535206987474
12211b3697b47685
13982484b50419c
143d584dcb68389
151ae0ade5e906b
hexcc0a64fceb05

224345016036101 has 2 divisors, whose sum is σ = 224345016036102. Its totient is φ = 224345016036100.

The previous prime is 224345016036091. The next prime is 224345016036133. The reversal of 224345016036101 is 101630610543422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136149458256100 + 88195557780001 = 11668310^2 + 9391249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224345016036101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224345016039101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112172508018050 + 112172508018051.

It is an arithmetic number, because the mean of its divisors is an integer number (112172508018051).

Almost surely, 2224345016036101 is an apocalyptic number.

It is an amenable number.

224345016036101 is a deficient number, since it is larger than the sum of its proper divisors (1).

224345016036101 is an equidigital number, since it uses as much as digits as its factorization.

224345016036101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 224345016036101 its reverse (101630610543422), we get a palindrome (325975626579523).

The spelling of 224345016036101 in words is "two hundred twenty-four trillion, three hundred forty-five billion, sixteen million, thirty-six thousand, one hundred one".