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211122022012249 is a prime number
BaseRepresentation
bin110000000000001110101101…
…001000000101010101011001
31000200112001211201020012201211
4300000032231020011111121
5210133010400113342444
62025004041252143121
762320030342505035
oct6000165510052531
91020461751205654
10211122022012249
11612a738a539087
121b818a42007aa1
1390a594b78093a
143a1c508c8b1c5
151961b7ceadc34
hexc003ad205559

211122022012249 has 2 divisors, whose sum is σ = 211122022012250. Its totient is φ = 211122022012248.

The previous prime is 211122022012207. The next prime is 211122022012259. The reversal of 211122022012249 is 942210220221112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165514528910025 + 45607493102224 = 12865245^2 + 6753332^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122022012249 - 29 = 211122022011737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211122022012249.

It is not a weakly prime, because it can be changed into another prime (211122022012259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561011006124 + 105561011006125.

It is an arithmetic number, because the mean of its divisors is an integer number (105561011006125).

Almost surely, 2211122022012249 is an apocalyptic number.

It is an amenable number.

211122022012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122022012249 is an equidigital number, since it uses as much as digits as its factorization.

211122022012249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 211122022012249 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-two million, twelve thousand, two hundred forty-nine".