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214016397337 is a prime number
BaseRepresentation
bin1100011101010001011…
…1110001000000011001
3202110102011121102222201
43013110113301000121
512001301144203322
6242152350050201
721314345235121
oct3072427610031
9673364542881
10214016397337
1182844749a56
12355897a9961
131724914c702
14a503825c81
155878c45d27
hex31d45f1019

214016397337 has 2 divisors, whose sum is σ = 214016397338. Its totient is φ = 214016397336.

The previous prime is 214016397311. The next prime is 214016397389. The reversal of 214016397337 is 733793610412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197566026256 + 16450371081 = 444484^2 + 128259^2 .

It is a cyclic number.

It is not a de Polignac number, because 214016397337 - 231 = 211868913689 is a prime.

It is not a weakly prime, because it can be changed into another prime (214016397037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107008198668 + 107008198669.

It is an arithmetic number, because the mean of its divisors is an integer number (107008198669).

Almost surely, 2214016397337 is an apocalyptic number.

It is an amenable number.

214016397337 is a deficient number, since it is larger than the sum of its proper divisors (1).

214016397337 is an equidigital number, since it uses as much as digits as its factorization.

214016397337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 46.

The spelling of 214016397337 in words is "two hundred fourteen billion, sixteen million, three hundred ninety-seven thousand, three hundred thirty-seven".