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1022122200181 is a prime number
BaseRepresentation
bin11101101111110110011…
…10110000110001110101
310121201021110020122002111
432313323032300301311
5113221301240401211
62101320110011021
7133563066231325
oct16677316606165
93551243218074
101022122200181
11364530376365
121461167a6a71
1375502535014
1437684517285
151b8c3982421
hexedfb3b0c75

1022122200181 has 2 divisors, whose sum is σ = 1022122200182. Its totient is φ = 1022122200180.

The previous prime is 1022122200079. The next prime is 1022122200191. The reversal of 1022122200181 is 1810022212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 894662489956 + 127459710225 = 945866^2 + 357015^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022122200181 - 27 = 1022122200053 is a prime.

It is a super-2 number, since 2×10221222001812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022122200191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511061100090 + 511061100091.

It is an arithmetic number, because the mean of its divisors is an integer number (511061100091).

Almost surely, 21022122200181 is an apocalyptic number.

It is an amenable number.

1022122200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022122200181 is an equidigital number, since it uses as much as digits as its factorization.

1022122200181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 1022122200181 its reverse (1810022212201), we get a palindrome (2832144412382).

The spelling of 1022122200181 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred eighty-one".