Search a number
-
+
13124332442321 is a prime number
BaseRepresentation
bin1011111011111011111100…
…1011000101001011010001
31201110200012021221000100122
42332332333023011023101
53210012113101123241
643525122440200025
72523126123050102
oct276767713051321
951420167830318
1013124332442321
1141aaaa8570961
12157b700469015
13742808610809
143353148dc3a9
1517b5d9b7e04b
hexbefbf2c52d1

13124332442321 has 2 divisors, whose sum is σ = 13124332442322. Its totient is φ = 13124332442320.

The previous prime is 13124332442261. The next prime is 13124332442323. The reversal of 13124332442321 is 12324423342131.

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., 12410119840000 + 714212602321 = 3522800^2 + 845111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13124332442321 is a prime.

It is a Sophie Germain prime.

Together with 13124332442323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13124332442323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562166221160 + 6562166221161.

It is an arithmetic number, because the mean of its divisors is an integer number (6562166221161).

Almost surely, 213124332442321 is an apocalyptic number.

It is an amenable number.

13124332442321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13124332442321 is an equidigital number, since it uses as much as digits as its factorization.

13124332442321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 35.

Adding to 13124332442321 its reverse (12324423342131), we get a palindrome (25448755784452).

The spelling of 13124332442321 in words is "thirteen trillion, one hundred twenty-four billion, three hundred thirty-two million, four hundred forty-two thousand, three hundred twenty-one".