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211211022109 is a prime number
BaseRepresentation
bin1100010010110100101…
…0000110111100011101
3202012011122210121122111
43010231022012330131
511430030010201414
6241010133114021
721155002031443
oct3045512067435
9665148717574
10211211022109
118163513002a
1234b26188911
1316bbcb8c979
14a319002b93
1557627e88c4
hex312d286f1d

211211022109 has 2 divisors, whose sum is σ = 211211022110. Its totient is φ = 211211022108.

The previous prime is 211211022079. The next prime is 211211022131. The reversal of 211211022109 is 901220112112.

211211022109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (211211022131) can be obtained adding 211211022109 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195543493209 + 15667528900 = 442203^2 + 125170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211211022109 is a prime.

It is a super-2 number, since 2×2112110221092 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211211022109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211211022809) 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, 105605511054 + 105605511055.

It is an arithmetic number, because the mean of its divisors is an integer number (105605511055).

Almost surely, 2211211022109 is an apocalyptic number.

It is an amenable number.

211211022109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211022109 is an equidigital number, since it uses as much as digits as its factorization.

211211022109 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 22.

The spelling of 211211022109 in words is "two hundred eleven billion, two hundred eleven million, twenty-two thousand, one hundred nine".