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210966968857 is a prime number
BaseRepresentation
bin1100010001111010011…
…1000111101000011001
3202011112122120102112011
43010132213013220121
511424030021000412
6240530014145521
721145646435101
oct3043647075031
9664478512464
10210966968857
118151a399227
1234a784b22a1
1316b8144cc68
14a2d4834201
15574b18b7a7
hex311e9c7a19

210966968857 has 2 divisors, whose sum is σ = 210966968858. Its totient is φ = 210966968856.

The previous prime is 210966968819. The next prime is 210966968867. The reversal of 210966968857 is 758869669012.

210966968857 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., 179857417216 + 31109551641 = 424096^2 + 176379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210966968857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210966968792 and 210966968801.

It is not a weakly prime, because it can be changed into another prime (210966968867) 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, 105483484428 + 105483484429.

It is an arithmetic number, because the mean of its divisors is an integer number (105483484429).

Almost surely, 2210966968857 is an apocalyptic number.

It is an amenable number.

210966968857 is a deficient number, since it is larger than the sum of its proper divisors (1).

210966968857 is an equidigital number, since it uses as much as digits as its factorization.

210966968857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 210966968857 in words is "two hundred ten billion, nine hundred sixty-six million, nine hundred sixty-eight thousand, eight hundred fifty-seven".