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2106402309017 is a prime number
BaseRepresentation
bin11110101001101111010…
…111001000001110011001
321110100222210120012002222
4132221233113020032121
5234002402442342032
64251400131433425
7305116420131356
oct36515727101631
97410883505088
102106402309017
1174235820a466
122a0299a55875
1312382c5ac136
1473d43d2562d
1539bd431ca12
hex1ea6f5c8399

2106402309017 has 2 divisors, whose sum is σ = 2106402309018. Its totient is φ = 2106402309016.

The previous prime is 2106402308957. The next prime is 2106402309019. The reversal of 2106402309017 is 7109032046012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2071020322816 + 35381986201 = 1439104^2 + 188101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2106402309017 - 210 = 2106402307993 is a prime.

Together with 2106402309019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2106402309019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1053201154508 + 1053201154509.

It is an arithmetic number, because the mean of its divisors is an integer number (1053201154509).

Almost surely, 22106402309017 is an apocalyptic number.

It is an amenable number.

2106402309017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106402309017 is an equidigital number, since it uses as much as digits as its factorization.

2106402309017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 2106402309017 in words is "two trillion, one hundred six billion, four hundred two million, three hundred nine thousand, seventeen".