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22002400420009 is a prime number
BaseRepresentation
bin1010000000010110101010…
…10000101110000010101001
32212220102001010010022211121
411000023111100232002221
510340441404001420014
6114443432504255241
74430422664533012
oct500132520560251
985812033108747
1022002400420009
117013190487a09
122574267471521
13c37a81c4cc79
14560cc983a009
152824ed96e124
hex1402d542e0a9

22002400420009 has 2 divisors, whose sum is σ = 22002400420010. Its totient is φ = 22002400420008.

The previous prime is 22002400420001. The next prime is 22002400420087. The reversal of 22002400420009 is 90002400420022.

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., 11338224403984 + 10664176016025 = 3367228^2 + 3265605^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002400420009 - 23 = 22002400420001 is a prime.

It is not a weakly prime, because it can be changed into another prime (22002400420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001200210004 + 11001200210005.

It is an arithmetic number, because the mean of its divisors is an integer number (11001200210005).

Almost surely, 222002400420009 is an apocalyptic number.

It is an amenable number.

22002400420009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002400420009 is an equidigital number, since it uses as much as digits as its factorization.

22002400420009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 22002400420009 in words is "twenty-two trillion, two billion, four hundred million, four hundred twenty thousand, nine".