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22201012114009 is a prime number
BaseRepresentation
bin1010000110001000100110…
…11100001101001001011001
32220121101200201001202112021
411003010103130031021121
510402220133100122014
6115115000522214441
74450653530220451
oct503042334151131
986541621052467
1022201012114009
11708a43a617283
1225a6856054421
13c507147562b1
1456a76b3b0d61
152877750ad624
hex14311370d259

22201012114009 has 2 divisors, whose sum is σ = 22201012114010. Its totient is φ = 22201012114008.

The previous prime is 22201012113989. The next prime is 22201012114033. The reversal of 22201012114009 is 90041121010222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19894097678400 + 2306914435609 = 4460280^2 + 1518853^2 .

It is a cyclic number.

It is not a de Polignac number, because 22201012114009 - 213 = 22201012105817 is a prime.

It is not a weakly prime, because it can be changed into another prime (22201012144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11100506057004 + 11100506057005.

It is an arithmetic number, because the mean of its divisors is an integer number (11100506057005).

Almost surely, 222201012114009 is an apocalyptic number.

It is an amenable number.

22201012114009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22201012114009 is an equidigital number, since it uses as much as digits as its factorization.

22201012114009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 22201012114009 in words is "twenty-two trillion, two hundred one billion, twelve million, one hundred fourteen thousand, nine".