Search a number
-
+
21819663836309 is a prime number
BaseRepresentation
bin1001111011000010010010…
…10011111110010010010101
32212020221100220000001111002
410331201021103332102111
510324443132420230214
6114223452025153045
74411263416310533
oct475411123762225
985227326001432
1021819663836309
116a52738441a09
12254496932b785
13c2377c383431
14556112407153
1527c8a5da61de
hex13d8494fe495

21819663836309 has 2 divisors, whose sum is σ = 21819663836310. Its totient is φ = 21819663836308.

The previous prime is 21819663836273. The next prime is 21819663836339. The reversal of 21819663836309 is 90363836691812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21819147183409 + 516652900 = 4671097^2 + 22730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21819663836309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21819663836339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10909831918154 + 10909831918155.

It is an arithmetic number, because the mean of its divisors is an integer number (10909831918155).

Almost surely, 221819663836309 is an apocalyptic number.

It is an amenable number.

21819663836309 is a deficient number, since it is larger than the sum of its proper divisors (1).

21819663836309 is an equidigital number, since it uses as much as digits as its factorization.

21819663836309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60466176, while the sum is 65.

The spelling of 21819663836309 in words is "twenty-one trillion, eight hundred nineteen billion, six hundred sixty-three million, eight hundred thirty-six thousand, three hundred nine".