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212680423729 is a prime number
BaseRepresentation
bin1100011000010010111…
…1011011100100110001
3202022222001201221201201
43012010233123210301
511441032142024404
6241412023331201
721236263526254
oct3060457334461
9668861657651
10212680423729
1182219611234
12352762b0b01
131709542a797
14a41821d09b
1557eb7ebca4
hex3184bdb931

212680423729 has 2 divisors, whose sum is σ = 212680423730. Its totient is φ = 212680423728.

The previous prime is 212680423693. The next prime is 212680423741. The reversal of 212680423729 is 927324086212.

212680423729 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., 180156104704 + 32524319025 = 424448^2 + 180345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212680423729 is a prime.

It is not a weakly prime, because it can be changed into another prime (212680424729) 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, 106340211864 + 106340211865.

It is an arithmetic number, because the mean of its divisors is an integer number (106340211865).

Almost surely, 2212680423729 is an apocalyptic number.

It is an amenable number.

212680423729 is a deficient number, since it is larger than the sum of its proper divisors (1).

212680423729 is an equidigital number, since it uses as much as digits as its factorization.

212680423729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 212680423729 in words is "two hundred twelve billion, six hundred eighty million, four hundred twenty-three thousand, seven hundred twenty-nine".