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214004200013 is a prime number
BaseRepresentation
bin1100011101001110100…
…1001111001001001101
3202110101022122202101222
43013103221033021031
512001240033400023
6242151232413125
721314136454322
oct3072351171115
9673338582358
10214004200013
1182838878a1a
12355856a71a5
131724676b966
14a501d6cb49
155877b36cc8
hex31d3a4f24d

214004200013 has 2 divisors, whose sum is σ = 214004200014. Its totient is φ = 214004200012.

The previous prime is 214004200009. The next prime is 214004200037. The reversal of 214004200013 is 310002400412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183455452489 + 30548747524 = 428317^2 + 174782^2 .

It is a cyclic number.

It is not a de Polignac number, because 214004200013 - 22 = 214004200009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214004199964 and 214004200000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214004200313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107002100006 + 107002100007.

It is an arithmetic number, because the mean of its divisors is an integer number (107002100007).

Almost surely, 2214004200013 is an apocalyptic number.

It is an amenable number.

214004200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

214004200013 is an equidigital number, since it uses as much as digits as its factorization.

214004200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 214004200013 its reverse (310002400412), we get a palindrome (524006600425).

The spelling of 214004200013 in words is "two hundred fourteen billion, four million, two hundred thousand, thirteen".