Search a number
-
+
123113223029 is a prime number
BaseRepresentation
bin111001010101000011…
…1101011001101110101
3102202202222020201122002
41302222013223031311
54004113441114104
6132320223345045
711615601062246
oct1625207531565
9382688221562
10123113223029
1148237228715
121ba3a452185
13b7c0191c84
145d5c9c2ccd
15330846201e
hex1caa1eb375

123113223029 has 2 divisors, whose sum is σ = 123113223030. Its totient is φ = 123113223028.

The previous prime is 123113222993. The next prime is 123113223031. The reversal of 123113223029 is 920322311321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122991892804 + 121330225 = 350702^2 + 11015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123113223029 is a prime.

Together with 123113223031, 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 = 123113222992 and 123113223010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123113223229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556611514 + 61556611515.

It is an arithmetic number, because the mean of its divisors is an integer number (61556611515).

Almost surely, 2123113223029 is an apocalyptic number.

It is an amenable number.

123113223029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113223029 is an equidigital number, since it uses as much as digits as its factorization.

123113223029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 123113223029 in words is "one hundred twenty-three billion, one hundred thirteen million, two hundred twenty-three thousand, twenty-nine".