Search a number
-
+
13137743 is a prime number
BaseRepresentation
bin110010000111…
…011101001111
3220201110121002
4302013131033
511330401433
61145330515
7216445313
oct62073517
926643532
1013137743
117463643
124496a3b
13294cb18
141a5db43
1512479e8
hexc8774f

13137743 has 2 divisors, whose sum is σ = 13137744. Its totient is φ = 13137742.

The previous prime is 13137727. The next prime is 13137749. The reversal of 13137743 is 34773131.

13137743 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (34773131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13137743 - 24 = 13137727 is a prime.

It is a super-2 number, since 2×131377432 = 345200582268098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13137749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568871 + 6568872.

It is an arithmetic number, because the mean of its divisors is an integer number (6568872).

Almost surely, 213137743 is an apocalyptic number.

13137743 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137743 is an equidigital number, since it uses as much as digits as its factorization.

13137743 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5292, while the sum is 29.

The square root of 13137743 is about 3624.6024609604. The cubic root of 13137743 is about 235.9610141002.

The spelling of 13137743 in words is "thirteen million, one hundred thirty-seven thousand, seven hundred forty-three".