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4123808329 is a prime number
BaseRepresentation
bin1111010111001100…
…0101001001001001
3101122101200011112211
43311303011021021
531421143331304
61521111305121
7204122535544
oct36563051111
911571604484
104123808329
111826867263
1297107b1a1
1350947cb94
142b198185b
1519207e204
hexf5cc5249

4123808329 has 2 divisors, whose sum is σ = 4123808330. Its totient is φ = 4123808328.

The previous prime is 4123808287. The next prime is 4123808347. The reversal of 4123808329 is 9238083214.

4123808329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3881290000 + 242518329 = 62300^2 + 15573^2 .

It is a cyclic number.

It is not a de Polignac number, because 4123808329 - 29 = 4123807817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4123808291 and 4123808300.

It is not a weakly prime, because it can be changed into another prime (4123808369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2061904164 + 2061904165.

It is an arithmetic number, because the mean of its divisors is an integer number (2061904165).

Almost surely, 24123808329 is an apocalyptic number.

It is an amenable number.

4123808329 is a deficient number, since it is larger than the sum of its proper divisors (1).

4123808329 is an equidigital number, since it uses as much as digits as its factorization.

4123808329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 4123808329 is about 64216.8850770574. The cubic root of 4123808329 is about 1603.6127127240.

The spelling of 4123808329 in words is "four billion, one hundred twenty-three million, eight hundred eight thousand, three hundred twenty-nine".