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164110319 is a prime number
BaseRepresentation
bin10011100100000…
…01111111101111
3102102210200000222
421302001333233
5314003012234
624141241555
74031625512
oct1162017757
9372720028
10164110319
11846aa56a
1246b632bb
1327ccc5c9
1417b1cd79
15e61a42e
hex9c81fef

164110319 has 2 divisors, whose sum is σ = 164110320. Its totient is φ = 164110318.

The previous prime is 164110279. The next prime is 164110327. The reversal of 164110319 is 913011461.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164110319 is a prime.

It is a super-2 number, since 2×1641103192 = 53864393604563522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164113319) 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, 82055159 + 82055160.

It is an arithmetic number, because the mean of its divisors is an integer number (82055160).

Almost surely, 2164110319 is an apocalyptic number.

164110319 is a deficient number, since it is larger than the sum of its proper divisors (1).

164110319 is an equidigital number, since it uses as much as digits as its factorization.

164110319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 164110319 is about 12810.5549840747. The cubic root of 164110319 is about 547.4930744243.

The spelling of 164110319 in words is "one hundred sixty-four million, one hundred ten thousand, three hundred nineteen".