Search a number
-
+
123309343049 is a prime number
BaseRepresentation
bin111001011010111001…
…1110100000101001001
3102210021122021122201112
41302311303310011021
54010014142434144
6132351511100105
711623502056604
oct1626563640511
9383248248645
10123309343049
1148327a00582
121ba94071635
13b8219bb219
145d7aa7533b
15331a7a199e
hex1cb5cf4149

123309343049 has 2 divisors, whose sum is σ = 123309343050. Its totient is φ = 123309343048.

The previous prime is 123309343007. The next prime is 123309343051. The reversal of 123309343049 is 940343903321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83362125625 + 39947217424 = 288725^2 + 199868^2 .

It is an emirp because it is prime and its reverse (940343903321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123309343049 - 236 = 54589866313 is a prime.

Together with 123309343051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123309342997 and 123309343015.

It is not a weakly prime, because it can be changed into another prime (123309343249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61654671524 + 61654671525.

It is an arithmetic number, because the mean of its divisors is an integer number (61654671525).

Almost surely, 2123309343049 is an apocalyptic number.

It is an amenable number.

123309343049 is a deficient number, since it is larger than the sum of its proper divisors (1).

123309343049 is an equidigital number, since it uses as much as digits as its factorization.

123309343049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 41.

The spelling of 123309343049 in words is "one hundred twenty-three billion, three hundred nine million, three hundred forty-three thousand, forty-nine".