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212007927697 is a prime number
BaseRepresentation
bin1100010101110010101…
…0000011111110010001
3202021020012022121121021
43011130222003332101
511433143012141242
6241221201355441
721213516436366
oct3053452037621
9667205277537
10212007927697
1181a03a47a95
1235109038b81
1316cb8ccb237
14a392ba446d
1557ac75db67
hex315ca83f91

212007927697 has 2 divisors, whose sum is σ = 212007927698. Its totient is φ = 212007927696.

The previous prime is 212007927629. The next prime is 212007927751. The reversal of 212007927697 is 796729700212.

212007927697 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., 114304171921 + 97703755776 = 338089^2 + 312576^2 .

It is a cyclic number.

It is not a de Polignac number, because 212007927697 - 27 = 212007927569 is a prime.

It is a super-2 number, since 2×2120079276972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212007927097) 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, 106003963848 + 106003963849.

It is an arithmetic number, because the mean of its divisors is an integer number (106003963849).

Almost surely, 2212007927697 is an apocalyptic number.

It is an amenable number.

212007927697 is a deficient number, since it is larger than the sum of its proper divisors (1).

212007927697 is an equidigital number, since it uses as much as digits as its factorization.

212007927697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1333584, while the sum is 52.

The spelling of 212007927697 in words is "two hundred twelve billion, seven million, nine hundred twenty-seven thousand, six hundred ninety-seven".