Search a number
-
+
10525420305 = 325373627073
BaseRepresentation
bin10011100110101110…
…10010101100010001
31000011112102202021200
421303113102230101
5133024001422210
64500232141413
7521554411401
oct116327225421
930145382250
1010525420305
114511364074
122058b37869
13cb9802b6a
1471bc54801
154190980c0
hex2735d2b11

10525420305 has 24 divisors (see below), whose sum is σ = 18293002728. Its totient is φ = 5598498816.

The previous prime is 10525420277. The next prime is 10525420309. The reversal of 10525420305 is 50302452501.

It is a happy number.

10525420305 is a `hidden beast` number, since 105 + 254 + 2 + 0 + 305 = 666.

10525420305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2331730944 + 8193689361 = 48288^2 + 90519^2 .

It is not a de Polignac number, because 10525420305 - 216 = 10525354769 is a prime.

It is a super-2 number, since 2×105254203052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10525420309) 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 in 23 ways as a sum of consecutive naturals, for example, 296752 + ... + 330321.

It is an arithmetic number, because the mean of its divisors is an integer number (762208447).

Almost surely, 210525420305 is an apocalyptic number.

10525420305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10525420305 is a deficient number, since it is larger than the sum of its proper divisors (7767582423).

10525420305 is a wasteful number, since it uses less digits than its factorization.

10525420305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627457 (or 627454 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 10525420305 its reverse (50302452501), we get a palindrome (60827872806).

The spelling of 10525420305 in words is "ten billion, five hundred twenty-five million, four hundred twenty thousand, three hundred five".

Divisors: 1 3 5 9 15 45 373 1119 1865 3357 5595 16785 627073 1881219 3135365 5643657 9406095 28218285 233898229 701694687 1169491145 2105084061 3508473435 10525420305