Search a number
-
+
10057204877 is a prime number
BaseRepresentation
bin10010101110111010…
…01100010010001101
3221221220101221110112
421113131030102031
5131044121024002
64341544445405
7504140555006
oct112735142215
927856357415
1010057204877
1142a1036975
121b48179865
13c437c9105
146b59b41ad
153dce0c852
hex25774c48d

10057204877 has 2 divisors, whose sum is σ = 10057204878. Its totient is φ = 10057204876.

The previous prime is 10057204837. The next prime is 10057204897. The reversal of 10057204877 is 77840275001.

10057204877 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., 6622541641 + 3434663236 = 81379^2 + 58606^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057204877 - 26 = 10057204813 is a prime.

It is a super-2 number, since 2×100572048772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10057204837) 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, 5028602438 + 5028602439.

It is an arithmetic number, because the mean of its divisors is an integer number (5028602439).

Almost surely, 210057204877 is an apocalyptic number.

It is an amenable number.

10057204877 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057204877 is an equidigital number, since it uses as much as digits as its factorization.

10057204877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109760, while the sum is 41.

Adding to 10057204877 its reverse (77840275001), we get a palindrome (87897479878).

The spelling of 10057204877 in words is "ten billion, fifty-seven million, two hundred four thousand, eight hundred seventy-seven".