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221221202123281 is a prime number
BaseRepresentation
bin110010010011001100010011…
…001010110101101000010001
31002000021112120221100010120211
4302103030103022311220101
5212443442010220421111
62102255341155204121
764411463421200113
oct6223142312655021
91060245527303524
10221221202123281
1164540426412508
122098a198ba6641
1396590ba5c0c99
143c8b2401b53b3
151a89710186521
hexc933132b5a11

221221202123281 has 2 divisors, whose sum is σ = 221221202123282. Its totient is φ = 221221202123280.

The previous prime is 221221202123249. The next prime is 221221202123303. The reversal of 221221202123281 is 182321202122122.

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., 209019768890256 + 12201433233025 = 14457516^2 + 3493055^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221202123281 - 25 = 221221202123249 is a prime.

It is a super-2 number, since 2×2212212021232812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221221202123381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610601061640 + 110610601061641.

It is an arithmetic number, because the mean of its divisors is an integer number (110610601061641).

Almost surely, 2221221202123281 is an apocalyptic number.

It is an amenable number.

221221202123281 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221202123281 is an equidigital number, since it uses as much as digits as its factorization.

221221202123281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 221221202123281 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-three thousand, two hundred eighty-one".