Search a number
-
+
10086284077 is a prime number
BaseRepresentation
bin10010110010011000…
…00111101100101101
3222000221010022121221
421121030013230231
5131124042042302
64344504023341
7504643000012
oct113114075455
928027108557
1010086284077
114306498571
121b55a61b51
13c4983ac3c
146b97c3709
153e0753937
hex259307b2d

10086284077 has 2 divisors, whose sum is σ = 10086284078. Its totient is φ = 10086284076.

The previous prime is 10086284017. The next prime is 10086284081. The reversal of 10086284077 is 77048268001.

10086284077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5700401001 + 4385883076 = 75501^2 + 66226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10086284077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10086284017) 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, 5043142038 + 5043142039.

It is an arithmetic number, because the mean of its divisors is an integer number (5043142039).

Almost surely, 210086284077 is an apocalyptic number.

It is an amenable number.

10086284077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086284077 is an equidigital number, since it uses as much as digits as its factorization.

10086284077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 10086284077 in words is "ten billion, eighty-six million, two hundred eighty-four thousand, seventy-seven".