Search a number
-
+
13828209301 is a prime number
BaseRepresentation
bin11001110000011100…
…11011101010010101
31022200201012211001001
430320032123222111
5211310010144201
610204054303301
7666450561004
oct147016335225
938621184031
1013828209301
115956733355
12281b057b31
1313c4b5078a
14952758c3b
1555deec301
hex33839ba95

13828209301 has 2 divisors, whose sum is σ = 13828209302. Its totient is φ = 13828209300.

The previous prime is 13828209257. The next prime is 13828209337. The reversal of 13828209301 is 10390282831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8639888401 + 5188320900 = 92951^2 + 72030^2 .

It is a cyclic number.

It is not a de Polignac number, because 13828209301 - 29 = 13828208789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13828209361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914104650 + 6914104651.

It is an arithmetic number, because the mean of its divisors is an integer number (6914104651).

Almost surely, 213828209301 is an apocalyptic number.

It is an amenable number.

13828209301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13828209301 is an equidigital number, since it uses as much as digits as its factorization.

13828209301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 13828209301 in words is "thirteen billion, eight hundred twenty-eight million, two hundred nine thousand, three hundred one".