Search a number
-
+
10512786853 is a prime number
BaseRepresentation
bin10011100101001110…
…00110010110100101
31000010122122220110001
421302213012112211
5133012233134403
64455101301301
7521342133232
oct116247062645
930118586401
1010512786853
1145052153a8
122054864831
13cb6ccb74a
1471a2c6789
15417deec1d
hex2729c65a5

10512786853 has 2 divisors, whose sum is σ = 10512786854. Its totient is φ = 10512786852.

The previous prime is 10512786833. The next prime is 10512786871. The reversal of 10512786853 is 35868721501.

10512786853 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., 10322153604 + 190633249 = 101598^2 + 13807^2 .

It is a cyclic number.

It is not a de Polignac number, because 10512786853 - 221 = 10510689701 is a prime.

It is a super-2 number, since 2×105127868532 (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 (10512786833) 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, 5256393426 + 5256393427.

It is an arithmetic number, because the mean of its divisors is an integer number (5256393427).

Almost surely, 210512786853 is an apocalyptic number.

It is an amenable number.

10512786853 is a deficient number, since it is larger than the sum of its proper divisors (1).

10512786853 is an equidigital number, since it uses as much as digits as its factorization.

10512786853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 10512786853 in words is "ten billion, five hundred twelve million, seven hundred eighty-six thousand, eight hundred fifty-three".