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21122230009 is a prime number
BaseRepresentation
bin10011101010111110…
…111010011011111001
32000112001012110102011
4103222332322123321
5321224242330014
613411534405521
71345266664336
oct235276723371
960461173364
1021122230009
118a59a48041
1241159608a1
131cb803ca6a
14104536d98d
158395437c4
hex4eafba6f9

21122230009 has 2 divisors, whose sum is σ = 21122230010. Its totient is φ = 21122230008.

The previous prime is 21122229959. The next prime is 21122230027. The reversal of 21122230009 is 90003222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19210791609 + 1911438400 = 138603^2 + 43720^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122230009 - 219 = 21121705721 is a prime.

It is a super-2 number, since 2×211222300092 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122230039) 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, 10561115004 + 10561115005.

It is an arithmetic number, because the mean of its divisors is an integer number (10561115005).

Almost surely, 221122230009 is an apocalyptic number.

It is an amenable number.

21122230009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122230009 is an equidigital number, since it uses as much as digits as its factorization.

21122230009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 21122230009 in words is "twenty-one billion, one hundred twenty-two million, two hundred thirty thousand, nine".