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101684161 is a prime number
BaseRepresentation
bin1100000111110…
…01001111000001
321002100002110001
412003321033001
5202012343121
614031240001
72343205165
oct603711701
9232302401
10101684161
11524418a7
122a079001
13180b3257
14d70cca5
158dd8991
hex60f93c1

101684161 has 2 divisors, whose sum is σ = 101684162. Its totient is φ = 101684160.

The previous prime is 101684159. The next prime is 101684239. The reversal of 101684161 is 161486101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101626561 + 57600 = 10081^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 101684161 - 21 = 101684159 is a prime.

Together with 101684159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101684131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50842080 + 50842081.

It is an arithmetic number, because the mean of its divisors is an integer number (50842081).

Almost surely, 2101684161 is an apocalyptic number.

It is an amenable number.

101684161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101684161 is an equidigital number, since it uses as much as digits as its factorization.

101684161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 101684161 is about 10083.8564547498. The cubic root of 101684161 is about 466.7501181258.

The spelling of 101684161 in words is "one hundred one million, six hundred eighty-four thousand, one hundred sixty-one".