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212012102009 is a prime number
BaseRepresentation
bin1100010101110011100…
…1111111000101111001
3202021020111011200200102
43011130321333011321
511433200044231014
6241221431045145
721213600063401
oct3053471770571
9667214150612
10212012102009
1181a06339234
123510a5107b5
1316cb9b30246
14a39356d801
1557accd58de
hex315ce7f179

212012102009 has 2 divisors, whose sum is σ = 212012102010. Its totient is φ = 212012102008.

The previous prime is 212012101997. The next prime is 212012102021. The reversal of 212012102009 is 900201210212.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (212012101997) and next prime (212012102021).

It can be written as a sum of positive squares in only one way, i.e., 211972764025 + 39337984 = 460405^2 + 6272^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012102009 - 28 = 212012101753 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012102059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006051004 + 106006051005.

It is an arithmetic number, because the mean of its divisors is an integer number (106006051005).

Almost surely, 2212012102009 is an apocalyptic number.

It is an amenable number.

212012102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012102009 is an equidigital number, since it uses as much as digits as its factorization.

212012102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 212012102009 in words is "two hundred twelve billion, twelve million, one hundred two thousand, nine".