Search a number
-
+
13023241500637 is a prime number
BaseRepresentation
bin1011110110000011010110…
…1011101111011111011101
31201010000021002111002110101
42331200311223233133131
53201333044311010022
643410443342341101
72512620031163434
oct275406553573735
951100232432411
1013023241500637
114171142348165
121563ba928a791
13736117aa2464
14330484a1a11b
15178b6ec9c627
hexbd835aef7dd

13023241500637 has 2 divisors, whose sum is σ = 13023241500638. Its totient is φ = 13023241500636.

The previous prime is 13023241500631. The next prime is 13023241500653. The reversal of 13023241500637 is 73600514232031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12961303232761 + 61938267876 = 3600181^2 + 248874^2 .

It is an emirp because it is prime and its reverse (73600514232031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13023241500637 - 219 = 13023240976349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13023241500596 and 13023241500605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13023241500631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511620750318 + 6511620750319.

It is an arithmetic number, because the mean of its divisors is an integer number (6511620750319).

Almost surely, 213023241500637 is an apocalyptic number.

It is an amenable number.

13023241500637 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023241500637 is an equidigital number, since it uses as much as digits as its factorization.

13023241500637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

Adding to 13023241500637 its reverse (73600514232031), we get a palindrome (86623755732668).

The spelling of 13023241500637 in words is "thirteen trillion, twenty-three billion, two hundred forty-one million, five hundred thousand, six hundred thirty-seven".