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212122000217 is a prime number
BaseRepresentation
bin1100010110001101110…
…1001101101101011001
3202021112010222002200102
43011203131031231121
511433411213001332
6241240354345145
721216403152341
oct3054335155531
9667463862612
10212122000217
1181a623803a6
123513b28b1b5
131700682b17a
14a3a3db9d21
1557b7793062
hex316374db59

212122000217 has 2 divisors, whose sum is σ = 212122000218. Its totient is φ = 212122000216.

The previous prime is 212122000187. The next prime is 212122000231. The reversal of 212122000217 is 712000221212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197588251081 + 14533749136 = 444509^2 + 120556^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122000217 - 28 = 212121999961 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122000247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061000108 + 106061000109.

It is an arithmetic number, because the mean of its divisors is an integer number (106061000109).

Almost surely, 2212122000217 is an apocalyptic number.

It is an amenable number.

212122000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122000217 is an equidigital number, since it uses as much as digits as its factorization.

212122000217 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 20.

Adding to 212122000217 its reverse (712000221212), we get a palindrome (924122221429).

The spelling of 212122000217 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred seventeen", and thus it is an aban number.