Search a number
-
+
10513436301 = 321279198107
BaseRepresentation
bin10011100101010011…
…00100111010001101
31000010200212220022200
421302221210322031
5133012414430201
64455123232113
7521350506534
oct116251447215
930120786280
1010513436301
114505619335
122054b18639
13cb7198234
1471a41531b
15417ecc386
hex272a64e8d

10513436301 has 12 divisors (see below), whose sum is σ = 15305651712. Its totient is φ = 6953768136.

The previous prime is 10513436249. The next prime is 10513436303. The reversal of 10513436301 is 10363431501.

10513436301 is a `hidden beast` number, since 10 + 5 + 1 + 343 + 6 + 301 = 666.

10513436301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10513436301 - 27 = 10513436173 is a prime.

It is a super-2 number, since 2×105134363012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513436303) 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 11 ways as a sum of consecutive naturals, for example, 4597911 + ... + 4600196.

It is an arithmetic number, because the mean of its divisors is an integer number (1275470976).

Almost surely, 210513436301 is an apocalyptic number.

It is an amenable number.

10513436301 is a deficient number, since it is larger than the sum of its proper divisors (4792215411).

10513436301 is a wasteful number, since it uses less digits than its factorization.

10513436301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198240 (or 9198237 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 10513436301 its reverse (10363431501), we get a palindrome (20876867802).

The spelling of 10513436301 in words is "ten billion, five hundred thirteen million, four hundred thirty-six thousand, three hundred one".

Divisors: 1 3 9 127 381 1143 9198107 27594321 82782963 1168159589 3504478767 10513436301