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212212202309 is a prime number
BaseRepresentation
bin1100010110100011010…
…1010011101101000101
3202021202102200211200122
43011220311103231011
511434102310433214
6241253335551325
721221546646242
oct3055065235505
9667672624618
10212212202309
1181aa928a588
123516552b545
131701c4210a3
14a3b1d7a5c9
1557c065e88e
hex3168d53b45

212212202309 has 2 divisors, whose sum is σ = 212212202310. Its totient is φ = 212212202308.

The previous prime is 212212202281. The next prime is 212212202333. The reversal of 212212202309 is 903202212212.

212212202309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186583394209 + 25628808100 = 431953^2 + 160090^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212202309 - 212 = 212212198213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212212202009) 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, 106106101154 + 106106101155.

It is an arithmetic number, because the mean of its divisors is an integer number (106106101155).

Almost surely, 2212212202309 is an apocalyptic number.

It is an amenable number.

212212202309 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212202309 is an equidigital number, since it uses as much as digits as its factorization.

212212202309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 212212202309 in words is "two hundred twelve billion, two hundred twelve million, two hundred two thousand, three hundred nine".