Search a number
-
+
13024404401 is a prime number
BaseRepresentation
bin11000010000101000…
…01010001110110001
31020121200201022000012
430020110022032301
5203133221420101
65552222104305
7640520416331
oct141024121661
936550638005
1013024404401
115583a33888
122635a1b095
1312c7467a88
148b7abd0c1
15513672bbb
hex30850a3b1

13024404401 has 2 divisors, whose sum is σ = 13024404402. Its totient is φ = 13024404400.

The previous prime is 13024404377. The next prime is 13024404431. The reversal of 13024404401 is 10440442031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11072090176 + 1952314225 = 105224^2 + 44185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13024404401 is a prime.

It is a super-2 number, since 2×130244044012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13024404431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6512202200 + 6512202201.

It is an arithmetic number, because the mean of its divisors is an integer number (6512202201).

Almost surely, 213024404401 is an apocalyptic number.

It is an amenable number.

13024404401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13024404401 is an equidigital number, since it uses as much as digits as its factorization.

13024404401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13024404401 its reverse (10440442031), we get a palindrome (23464846432).

The spelling of 13024404401 in words is "thirteen billion, twenty-four million, four hundred four thousand, four hundred one".