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2200011022009 is a prime number
BaseRepresentation
bin100000000000111010111…
…000000001111010111001
321210022121112212111211001
4200000322320001322321
5242021110310201014
64402400543205001
7314642216066143
oct40007270017271
97708545774731
102200011022009
1177902395aa89
122b64632a6761
1312c5c9c42338
14786a41ddc93
153c3623cc974
hex2003ae01eb9

2200011022009 has 2 divisors, whose sum is σ = 2200011022010. Its totient is φ = 2200011022008.

The previous prime is 2200011022007. The next prime is 2200011022091. The reversal of 2200011022009 is 9002201100022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1674345421225 + 525665600784 = 1293965^2 + 725028^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200011022009 - 21 = 2200011022007 is a prime.

It is a super-2 number, since 2×22000110220092 (a number of 25 digits) contains 22 as substring.

Together with 2200011022007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2200011022007) 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, 1100005511004 + 1100005511005.

It is an arithmetic number, because the mean of its divisors is an integer number (1100005511005).

Almost surely, 22200011022009 is an apocalyptic number.

It is an amenable number.

2200011022009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200011022009 is an equidigital number, since it uses as much as digits as its factorization.

2200011022009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 2200011022009 in words is "two trillion, two hundred billion, eleven million, twenty-two thousand, nine".