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2211223201009 is a prime number
BaseRepresentation
bin100000001011010111001…
…011000110010011110001
321211101112221120012220221
4200023113023012103301
5242212041114413014
64411453311133041
7315520113042514
oct40132713062361
97741487505827
102211223201009
1178285793a019
122b8672214181
13130695ac9594
1479049342d7b
153c7bb8ceb24
hex202d72c64f1

2211223201009 has 2 divisors, whose sum is σ = 2211223201010. Its totient is φ = 2211223201008.

The previous prime is 2211223200961. The next prime is 2211223201043. The reversal of 2211223201009 is 9001023221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2190482880784 + 20740320225 = 1480028^2 + 144015^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211223201009 - 237 = 2073784247537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211223201309) 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, 1105611600504 + 1105611600505.

It is an arithmetic number, because the mean of its divisors is an integer number (1105611600505).

Almost surely, 22211223201009 is an apocalyptic number.

It is an amenable number.

2211223201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211223201009 is an equidigital number, since it uses as much as digits as its factorization.

2211223201009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 2211223201009 in words is "two trillion, two hundred eleven billion, two hundred twenty-three million, two hundred one thousand, nine".