Search a number
-
+
128000177 is a prime number
BaseRepresentation
bin1111010000100…
…10000010110001
322220212002020022
413220102002301
5230232001202
620411253225
73112661234
oct750220261
9286762208
10128000177
1166286478
1236a4a215
1320698466
1412ddd41b
15b385ea2
hex7a120b1

128000177 has 2 divisors, whose sum is σ = 128000178. Its totient is φ = 128000176.

The previous prime is 128000167. The next prime is 128000203. The reversal of 128000177 is 771000821.

It is an a-pointer prime, because the next prime (128000203) can be obtained adding 128000177 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99281296 + 28718881 = 9964^2 + 5359^2 .

It is an emirp because it is prime and its reverse (771000821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 128000177 - 224 = 111222961 is a prime.

It is a Chen prime.

It is equal to p7271045 and since 128000177 and 7271045 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (128000167) 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, 64000088 + 64000089.

It is an arithmetic number, because the mean of its divisors is an integer number (64000089).

Almost surely, 2128000177 is an apocalyptic number.

It is an amenable number.

128000177 is a deficient number, since it is larger than the sum of its proper divisors (1).

128000177 is an equidigital number, since it uses as much as digits as its factorization.

128000177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 128000177 is about 11313.7163213508. The cubic root of 128000177 is about 503.9686522558.

Adding to 128000177 its reverse (771000821), we get a palindrome (899000998).

The spelling of 128000177 in words is "one hundred twenty-eight million, one hundred seventy-seven", and thus it is an aban number.