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21838201318229 is a prime number
BaseRepresentation
bin1001111011100100110100…
…01110110110101101010101
32212022201012210112201002112
410331302122032312231111
510330244114014140404
6114240155311520405
74412520662306402
oct475623216665525
985281183481075
1021838201318229
116a5a5903614aa
122548481529105
13c25444a6044a
14556d903852a9
1527d0dd52d56e
hex13dc9a3b6b55

21838201318229 has 2 divisors, whose sum is σ = 21838201318230. Its totient is φ = 21838201318228.

The previous prime is 21838201318211. The next prime is 21838201318253. The reversal of 21838201318229 is 92281310283812.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12136876375204 + 9701324943025 = 3483802^2 + 3114695^2 .

It is a cyclic number.

It is not a de Polignac number, because 21838201318229 - 28 = 21838201317973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21838201318429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10919100659114 + 10919100659115.

It is an arithmetic number, because the mean of its divisors is an integer number (10919100659115).

Almost surely, 221838201318229 is an apocalyptic number.

It is an amenable number.

21838201318229 is a deficient number, since it is larger than the sum of its proper divisors (1).

21838201318229 is an equidigital number, since it uses as much as digits as its factorization.

21838201318229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 663552, while the sum is 50.

The spelling of 21838201318229 in words is "twenty-one trillion, eight hundred thirty-eight billion, two hundred one million, three hundred eighteen thousand, two hundred twenty-nine".