Search a number
-
+
115585381 is a prime number
BaseRepresentation
bin1101110001110…
…11000101100101
322001111100100001
412320323011211
5214042213011
615245221301
72602313422
oct670730545
9261440301
10115585381
115a27700a
1232861831
131ac3c722
14114cad49
15a2327c1
hex6e3b165

115585381 has 2 divisors, whose sum is σ = 115585382. Its totient is φ = 115585380.

The previous prime is 115585357. The next prime is 115585399. The reversal of 115585381 is 183585511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113529025 + 2056356 = 10655^2 + 1434^2 .

It is a cyclic number.

It is not a de Polignac number, because 115585381 - 211 = 115583333 is a prime.

It is a super-2 number, since 2×1155853812 = 26719960601830322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 115585381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115585331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57792690 + 57792691.

It is an arithmetic number, because the mean of its divisors is an integer number (57792691).

Almost surely, 2115585381 is an apocalyptic number.

It is an amenable number.

115585381 is a deficient number, since it is larger than the sum of its proper divisors (1).

115585381 is an equidigital number, since it uses as much as digits as its factorization.

115585381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24000, while the sum is 37.

The square root of 115585381 is about 10751.0641798847. The cubic root of 115585381 is about 487.1181402390.

The spelling of 115585381 in words is "one hundred fifteen million, five hundred eighty-five thousand, three hundred eighty-one".