Search a number
-
+
13249325043917 is a prime number
BaseRepresentation
bin1100000011001101100101…
…0100000001000011001101
31201220121211020120001201022
43000303121110001003031
53214034104202401132
644102353401323525
72535142424454224
oct300633124010315
951817736501638
1013249325043917
11424900963a4a6
12159b9841965a5
13751537c660c1
1433b3b0d3bcbb
1517e9a30c8e12
hexc0cd95010cd

13249325043917 has 2 divisors, whose sum is σ = 13249325043918. Its totient is φ = 13249325043916.

The previous prime is 13249325043853. The next prime is 13249325043971. The reversal of 13249325043917 is 71934052394231.

Together with next prime (13249325043971) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12900208322596 + 349116721321 = 3591686^2 + 590861^2 .

It is a cyclic number.

It is not a de Polignac number, because 13249325043917 - 26 = 13249325043853 is a prime.

It is a super-2 number, since 2×132493250439172 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13249325045917) 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, 6624662521958 + 6624662521959.

It is an arithmetic number, because the mean of its divisors is an integer number (6624662521959).

Almost surely, 213249325043917 is an apocalyptic number.

It is an amenable number.

13249325043917 is a deficient number, since it is larger than the sum of its proper divisors (1).

13249325043917 is an equidigital number, since it uses as much as digits as its factorization.

13249325043917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 53.

The spelling of 13249325043917 in words is "thirteen trillion, two hundred forty-nine billion, three hundred twenty-five million, forty-three thousand, nine hundred seventeen".