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212221564081 is a prime number
BaseRepresentation
bin1100010110100101100…
…1000001010010110001
3202021210002022110121221
43011221121001102301
511434112210022311
6241254312345041
721222022350112
oct3055131012261
9667702273557
10212221564081
11820035a418a
12351686a5181
131702134b2b7
14a3b32d6209
1557c13ad671
hex31696414b1

212221564081 has 2 divisors, whose sum is σ = 212221564082. Its totient is φ = 212221564080.

The previous prime is 212221563991. The next prime is 212221564111. The reversal of 212221564081 is 180465122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210758119056 + 1463445025 = 459084^2 + 38255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212221564081 is a prime.

It is a super-2 number, since 2×2122215640812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212221564781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106110782040 + 106110782041.

It is an arithmetic number, because the mean of its divisors is an integer number (106110782041).

Almost surely, 2212221564081 is an apocalyptic number.

It is an amenable number.

212221564081 is a deficient number, since it is larger than the sum of its proper divisors (1).

212221564081 is an equidigital number, since it uses as much as digits as its factorization.

212221564081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 212221564081 its reverse (180465122212), we get a palindrome (392686686293).

The spelling of 212221564081 in words is "two hundred twelve billion, two hundred twenty-one million, five hundred sixty-four thousand, eighty-one".