Search a number
-
+
77328101 is a prime number
BaseRepresentation
bin1001001101111…
…10111011100101
312101111200012202
410212332323211
5124243444401
611401224245
71626164234
oct446767345
9171450182
1077328101
113a716824
1221a92085
1313036196
14a3acb1b
156bc706b
hex49beee5

77328101 has 2 divisors, whose sum is σ = 77328102. Its totient is φ = 77328100.

The previous prime is 77328077. The next prime is 77328107. The reversal of 77328101 is 10182377.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51825601 + 25502500 = 7199^2 + 5050^2 .

It is an emirp because it is prime and its reverse (10182377) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77328101 - 26 = 77328037 is a 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 (77328107) 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, 38664050 + 38664051.

It is an arithmetic number, because the mean of its divisors is an integer number (38664051).

Almost surely, 277328101 is an apocalyptic number.

It is an amenable number.

77328101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77328101 is an equidigital number, since it uses as much as digits as its factorization.

77328101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 77328101 is about 8793.6398038582. The cubic root of 77328101 is about 426.0354930128.

The spelling of 77328101 in words is "seventy-seven million, three hundred twenty-eight thousand, one hundred one".