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212112213193 is a prime number
BaseRepresentation
bin1100010110001011011…
…1111000010011001001
3202021111110112212102001
43011202313320103021
511433401211310233
6241235404511001
721216224030626
oct3054267702311
9667443485361
10212112213193
1181a578a6251
1235137b4b461
13170047b252a
14a3a298d34d
1557b69ad27d
hex3162df84c9

212112213193 has 2 divisors, whose sum is σ = 212112213194. Its totient is φ = 212112213192.

The previous prime is 212112213121. The next prime is 212112213199. The reversal of 212112213193 is 391312211212.

212112213193 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., 150968771209 + 61143441984 = 388547^2 + 247272^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112213193 - 221 = 212110116041 is a prime.

It is not a weakly prime, because it can be changed into another prime (212112213199) 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, 106056106596 + 106056106597.

It is an arithmetic number, because the mean of its divisors is an integer number (106056106597).

Almost surely, 2212112213193 is an apocalyptic number.

It is an amenable number.

212112213193 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112213193 is an equidigital number, since it uses as much as digits as its factorization.

212112213193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 28.

The spelling of 212112213193 in words is "two hundred twelve billion, one hundred twelve million, two hundred thirteen thousand, one hundred ninety-three".