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211222121120273 is a prime number
BaseRepresentation
bin110000000001101011111011…
…011111111000001000010001
31000200212122012210100202122002
4300001223323133320020101
5210141130401001322043
62025122034115323345
762330203032052154
oct6001537337701021
91020778183322562
10211222121120273
116133588690653a
121b834318bb0555
1390b2211980b83
143a232c3149c9b
15196458ac73bb8
hexc01afb7f8211

211222121120273 has 2 divisors, whose sum is σ = 211222121120274. Its totient is φ = 211222121120272.

The previous prime is 211222121120209. The next prime is 211222121120281. The reversal of 211222121120273 is 372021121222112.

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., 182715993493504 + 28506127626769 = 13517248^2 + 5339113^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222121120273 - 26 = 211222121120209 is a prime.

It is a super-3 number, since 3×2112221211202733 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211222121120573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611060560136 + 105611060560137.

It is an arithmetic number, because the mean of its divisors is an integer number (105611060560137).

Almost surely, 2211222121120273 is an apocalyptic number.

It is an amenable number.

211222121120273 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222121120273 is an equidigital number, since it uses as much as digits as its factorization.

211222121120273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 211222121120273 its reverse (372021121222112), we get a palindrome (583243242342385).

The spelling of 211222121120273 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred seventy-three".