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212112067697 is a prime number
BaseRepresentation
bin1100010110001011011…
…1010100110001110001
3202021111110021110211022
43011202313110301301
511433401142131242
6241235401425225
721216222553505
oct3054267246161
9667443243738
10212112067697
1181a57806a02
1235137a9b215
131700476123a
14a3a2952305
1557b69800d2
hex3162dd4c71

212112067697 has 2 divisors, whose sum is σ = 212112067698. Its totient is φ = 212112067696.

The previous prime is 212112067691. The next prime is 212112067709. The reversal of 212112067697 is 796760211212.

212112067697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183255911056 + 28856156641 = 428084^2 + 169871^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112067697 - 212 = 212112063601 is a prime.

It is not a weakly prime, because it can be changed into another prime (212112067691) 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, 106056033848 + 106056033849.

It is an arithmetic number, because the mean of its divisors is an integer number (106056033849).

Almost surely, 2212112067697 is an apocalyptic number.

It is an amenable number.

212112067697 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112067697 is an equidigital number, since it uses as much as digits as its factorization.

212112067697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 212112067697 in words is "two hundred twelve billion, one hundred twelve million, sixty-seven thousand, six hundred ninety-seven".