Search a number
-
+
2424401330401 is a prime number
BaseRepresentation
bin100011010001111001100…
…101001000000011100001
322120202210200211020110201
4203101321211020003201
5304210133220033101
65053430554225201
7340104632202031
oct43217145100341
98522720736421
102424401330401
1185520138a946
12331a47125201
1314780a387a4b
14854ad6bb8c1
15430e6c3ee01
hex234799480e1

2424401330401 has 2 divisors, whose sum is σ = 2424401330402. Its totient is φ = 2424401330400.

The previous prime is 2424401330387. The next prime is 2424401330411. The reversal of 2424401330401 is 1040331044242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2093160794176 + 331240536225 = 1446776^2 + 575535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2424401330401 - 223 = 2424392941793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2424401330401.

It is not a weakly prime, because it can be changed into another prime (2424401330411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1212200665200 + 1212200665201.

It is an arithmetic number, because the mean of its divisors is an integer number (1212200665201).

Almost surely, 22424401330401 is an apocalyptic number.

It is an amenable number.

2424401330401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2424401330401 is an equidigital number, since it uses as much as digits as its factorization.

2424401330401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2424401330401 its reverse (1040331044242), we get a palindrome (3464732374643).

The spelling of 2424401330401 in words is "two trillion, four hundred twenty-four billion, four hundred one million, three hundred thirty thousand, four hundred one".