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212112110081 is a prime number
BaseRepresentation
bin1100010110001011011…
…1011111001000000001
3202021111110100121222002
43011202313133020001
511433401200010311
6241235402353345
721216223121204
oct3054267371001
9667443317862
10212112110081
1181a57835833
1235137abb855
1317004777611
14a3a296393b
1557b698c93b
hex3162ddf201

212112110081 has 2 divisors, whose sum is σ = 212112110082. Its totient is φ = 212112110080.

The previous prime is 212112110051. The next prime is 212112110137. The reversal of 212112110081 is 180011211212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193768116481 + 18343993600 = 440191^2 + 135440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212112110081 is a prime.

It is a super-2 number, since 2×2121121100812 (a number of 23 digits) contains 22 as substring.

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 (212112110011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056055040 + 106056055041.

It is an arithmetic number, because the mean of its divisors is an integer number (106056055041).

Almost surely, 2212112110081 is an apocalyptic number.

It is an amenable number.

212112110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112110081 is an equidigital number, since it uses as much as digits as its factorization.

212112110081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212112110081 its reverse (180011211212), we get a palindrome (392123321293).

The spelling of 212112110081 in words is "two hundred twelve billion, one hundred twelve million, one hundred ten thousand, eighty-one".