Search a number
-
+
413124401329 is a prime number
BaseRepresentation
bin1100000001100000010…
…00100001100010110001
31110111100100110000222221
412000300020201202301
523232034321320304
6513441533401041
741563415320513
oct6006010414261
91414310400887
10413124401329
1114a228a55372
1268096639181
132cc5a7183a3
1415dd1271bb3
15ab2dc20054
hex60302218b1

413124401329 has 2 divisors, whose sum is σ = 413124401330. Its totient is φ = 413124401328.

The previous prime is 413124401297. The next prime is 413124401353. The reversal of 413124401329 is 923104421314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332767459600 + 80356941729 = 576860^2 + 283473^2 .

It is a cyclic number.

It is not a de Polignac number, because 413124401329 - 25 = 413124401297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413124401294 and 413124401303.

It is not a weakly prime, because it can be changed into another prime (413124405329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206562200664 + 206562200665.

It is an arithmetic number, because the mean of its divisors is an integer number (206562200665).

Almost surely, 2413124401329 is an apocalyptic number.

It is an amenable number.

413124401329 is a deficient number, since it is larger than the sum of its proper divisors (1).

413124401329 is an equidigital number, since it uses as much as digits as its factorization.

413124401329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 413124401329 in words is "four hundred thirteen billion, one hundred twenty-four million, four hundred one thousand, three hundred twenty-nine".