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13828209001 is a prime number
BaseRepresentation
bin11001110000011100…
…11011100101101001
31022200201012210121221
430320032123211221
5211310010142001
610204054302041
7666450560065
oct147016334551
938621183557
1013828209001
115956733102
12281b057921
1313c4b505b9
14952758aa5
1555deec1a1
hex33839b969

13828209001 has 2 divisors, whose sum is σ = 13828209002. Its totient is φ = 13828209000.

The previous prime is 13828208981. The next prime is 13828209013. The reversal of 13828209001 is 10090282831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9881354025 + 3946854976 = 99405^2 + 62824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13828209001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13828209301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914104500 + 6914104501.

It is an arithmetic number, because the mean of its divisors is an integer number (6914104501).

Almost surely, 213828209001 is an apocalyptic number.

It is an amenable number.

13828209001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13828209001 is an equidigital number, since it uses as much as digits as its factorization.

13828209001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 13828209001 in words is "thirteen billion, eight hundred twenty-eight million, two hundred nine thousand, one".