Search a number
-
+
123944500829 is a prime number
BaseRepresentation
bin111001101101110101…
…0101111111001011101
3102211220220110000101202
41303123222233321131
54012314243011304
6132534520445245
711645313605552
oct1633352577135
9384826400352
10123944500829
1148623491a66
1220030919825
13b8c3476626
145ddb170a29
15335641681e
hex1cdbaafe5d

123944500829 has 2 divisors, whose sum is σ = 123944500830. Its totient is φ = 123944500828.

The previous prime is 123944500819. The next prime is 123944500831. The reversal of 123944500829 is 928005449321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99273515929 + 24670984900 = 315077^2 + 157070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123944500829 is a prime.

Together with 123944500831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123944500819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61972250414 + 61972250415.

It is an arithmetic number, because the mean of its divisors is an integer number (61972250415).

Almost surely, 2123944500829 is an apocalyptic number.

It is an amenable number.

123944500829 is a deficient number, since it is larger than the sum of its proper divisors (1).

123944500829 is an equidigital number, since it uses as much as digits as its factorization.

123944500829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 123944500829 in words is "one hundred twenty-three billion, nine hundred forty-four million, five hundred thousand, eight hundred twenty-nine".