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211033312309 is a prime number
BaseRepresentation
bin1100010010001010010…
…0001100110000110101
3202011201021102000122001
43010202210030300311
511424144011443214
6240540344135301
721150413362201
oct3044244146065
9664637360561
10211033312309
1181553892026
1234a96767531
1316b9210b341
14a2dd583b01
155751de3c74
hex312290cc35

211033312309 has 2 divisors, whose sum is σ = 211033312310. Its totient is φ = 211033312308.

The previous prime is 211033312297. The next prime is 211033312337. The reversal of 211033312309 is 903213330112.

It is an a-pointer prime, because the next prime (211033312337) can be obtained adding 211033312309 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179905767409 + 31127544900 = 424153^2 + 176430^2 .

It is a cyclic number.

It is not a de Polignac number, because 211033312309 - 27 = 211033312181 is a prime.

It is a super-2 number, since 2×2110333123092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211033312339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105516656154 + 105516656155.

It is an arithmetic number, because the mean of its divisors is an integer number (105516656155).

Almost surely, 2211033312309 is an apocalyptic number.

It is an amenable number.

211033312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

211033312309 is an equidigital number, since it uses as much as digits as its factorization.

211033312309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 211033312309 in words is "two hundred eleven billion, thirty-three million, three hundred twelve thousand, three hundred nine".