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212220001210117 is a prime number
BaseRepresentation
bin110000010000001101010001…
…110010010100111100000101
31000211102000220202210121002011
4300100031101302110330011
5210304003030302210432
62031204304521014221
762462250315631135
oct6020152162247405
91024360822717064
10212220001210117
116168aaa713456a
121b9757a9024371
13915534c9aa2b4
143a59707c02ac5
1519804e133d847
hexc10351c94f05

212220001210117 has 2 divisors, whose sum is σ = 212220001210118. Its totient is φ = 212220001210116.

The previous prime is 212220001210103. The next prime is 212220001210247. The reversal of 212220001210117 is 711012100022212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129645687074436 + 82574314135681 = 11386206^2 + 9087041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212220001210117 is a prime.

It is a super-3 number, since 3×2122200012101173 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212220001219117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106110000605058 + 106110000605059.

It is an arithmetic number, because the mean of its divisors is an integer number (106110000605059).

Almost surely, 2212220001210117 is an apocalyptic number.

It is an amenable number.

212220001210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212220001210117 is an equidigital number, since it uses as much as digits as its factorization.

212220001210117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 212220001210117 its reverse (711012100022212), we get a palindrome (923232101232329).

The spelling of 212220001210117 in words is "two hundred twelve trillion, two hundred twenty billion, one million, two hundred ten thousand, one hundred seventeen".