Search a number
-
+
13004255249 is a prime number
BaseRepresentation
bin11000001110001110…
…10011000000010001
31020120021210121120022
430013013103000101
5203113042131444
65550222153225
7640154226416
oct140707230021
936507717508
1013004255249
115573621497
12262b122815
1312c32317bb
148b515610d
155119e29ee
hex3071d3011

13004255249 has 2 divisors, whose sum is σ = 13004255250. Its totient is φ = 13004255248.

The previous prime is 13004255219. The next prime is 13004255261. The reversal of 13004255249 is 94255240031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8324737600 + 4679517649 = 91240^2 + 68407^2 .

It is a cyclic number.

It is not a de Polignac number, because 13004255249 - 212 = 13004251153 is a prime.

It is a super-2 number, since 2×130042552492 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13004255219) 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, 6502127624 + 6502127625.

It is an arithmetic number, because the mean of its divisors is an integer number (6502127625).

Almost surely, 213004255249 is an apocalyptic number.

It is an amenable number.

13004255249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13004255249 is an equidigital number, since it uses as much as digits as its factorization.

13004255249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 13004255249 in words is "thirteen billion, four million, two hundred fifty-five thousand, two hundred forty-nine".