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164107081 is a prime number
BaseRepresentation
bin10011100100000…
…01001101001001
3102102210111121001
421302001031021
5314002411311
624141215001
74031613205
oct1162011511
9372714531
10164107081
11846a8096
1246b61461
1327ccaca8
1417b1bb05
15e6194c1
hex9c81349

164107081 has 2 divisors, whose sum is σ = 164107082. Its totient is φ = 164107080.

The previous prime is 164107079. The next prime is 164107121. The reversal of 164107081 is 180701461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155226681 + 8880400 = 12459^2 + 2980^2 .

It is a cyclic number.

It is not a de Polignac number, because 164107081 - 21 = 164107079 is a prime.

It is a super-2 number, since 2×1641070812 = 53862268068681122, which contains 22 as substring.

Together with 164107079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (164107061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82053540 + 82053541.

It is an arithmetic number, because the mean of its divisors is an integer number (82053541).

Almost surely, 2164107081 is an apocalyptic number.

It is an amenable number.

164107081 is a deficient number, since it is larger than the sum of its proper divisors (1).

164107081 is an equidigital number, since it uses as much as digits as its factorization.

164107081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 164107081 is about 12810.4286032904. The cubic root of 164107081 is about 547.4894736062.

The spelling of 164107081 in words is "one hundred sixty-four million, one hundred seven thousand, eighty-one".