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2122210102009 is a prime number
BaseRepresentation
bin11110111000011101100…
…101000100101011111001
321111212210110201021110111
4132320131211010223321
5234232241241231014
64302532503344321
7306216226142404
oct36703545045371
97455713637414
102122210102009
1174902a305298
122a336ba520a1
1312517b5a91ba
1474a03542d3b
153a30bee82c4
hex1ee1d944af9

2122210102009 has 2 divisors, whose sum is σ = 2122210102010. Its totient is φ = 2122210102008.

The previous prime is 2122210102003. The next prime is 2122210102157. The reversal of 2122210102009 is 9002010122212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2122056465984 + 153636025 = 1456728^2 + 12395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122210102009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122210102003) 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, 1061105051004 + 1061105051005.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105051005).

Almost surely, 22122210102009 is an apocalyptic number.

It is an amenable number.

2122210102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210102009 is an equidigital number, since it uses as much as digits as its factorization.

2122210102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 2122210102009 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred two thousand, nine".