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212212112261 is a prime number
BaseRepresentation
bin1100010110100011010…
…0111101101110000101
3202021202102112021011112
43011220310331232011
511434102300043021
6241253334014405
721221546122562
oct3055064755605
9667672467145
10212212112261
1181aa9228966
12351654a7405
131701c3bc0c6
14a3b1d55869
1557c0642d5b
hex3168d3db85

212212112261 has 2 divisors, whose sum is σ = 212212112262. Its totient is φ = 212212112260.

The previous prime is 212212112209. The next prime is 212212112263. The reversal of 212212112261 is 162211212212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117721041025 + 94491071236 = 343105^2 + 307394^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212112261 - 226 = 212145003397 is a prime.

Together with 212212112263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212212112263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106056130 + 106106056131.

It is an arithmetic number, because the mean of its divisors is an integer number (106106056131).

Almost surely, 2212212112261 is an apocalyptic number.

It is an amenable number.

212212112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212112261 is an equidigital number, since it uses as much as digits as its factorization.

212212112261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 23.

Adding to 212212112261 its reverse (162211212212), we get a palindrome (374423324473).

The spelling of 212212112261 in words is "two hundred twelve billion, two hundred twelve million, one hundred twelve thousand, two hundred sixty-one".