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82227758773 is a prime number
BaseRepresentation
bin100110010010100101…
…0000000011010110101
321212020121000221112011
41030211022000122311
52321400301240043
6101435214124221
75640452263066
oct1144512003265
9255217027464
1082227758773
1131966476236
1213b29ab0671
1379a5835284
143da09a056d
152213d7059d
hex13252806b5

82227758773 has 2 divisors, whose sum is σ = 82227758774. Its totient is φ = 82227758772.

The previous prime is 82227758771. The next prime is 82227758807. The reversal of 82227758773 is 37785772228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80065229764 + 2162529009 = 282958^2 + 46503^2 .

It is a cyclic number.

It is not a de Polignac number, because 82227758773 - 21 = 82227758771 is a prime.

It is a super-3 number, since 3×822277587733 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 82227758771, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82227758771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41113879386 + 41113879387.

It is an arithmetic number, because the mean of its divisors is an integer number (41113879387).

Almost surely, 282227758773 is an apocalyptic number.

It is an amenable number.

82227758773 is a deficient number, since it is larger than the sum of its proper divisors (1).

82227758773 is an equidigital number, since it uses as much as digits as its factorization.

82227758773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18439680, while the sum is 58.

The spelling of 82227758773 in words is "eighty-two billion, two hundred twenty-seven million, seven hundred fifty-eight thousand, seven hundred seventy-three".