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13211540325 = 325258717957
BaseRepresentation
bin11000100110111100…
…00001101101100101
31021002201211210020100
430103132001231211
5204024123242300
610022545054313
7645252145164
oct142336015545
937081753210
1013211540325
11566a62a875
122688627399
1313271699a9
148d48b33db
15524cda700
hex313781b65

13211540325 has 18 divisors (see below), whose sum is σ = 23663337074. Its totient is φ = 7046154720.

The previous prime is 13211540311. The next prime is 13211540333. The reversal of 13211540325 is 52304511231.

13211540325 is a `hidden beast` number, since 1 + 321 + 15 + 4 + 0 + 325 = 666.

13211540325 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 3 ways, for example, as 1094154084 + 12117386241 = 33078^2 + 110079^2 .

It is not a de Polignac number, because 13211540325 - 27 = 13211540197 is a prime.

It is a super-2 number, since 2×132115403252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 29358754 + ... + 29359203.

Almost surely, 213211540325 is an apocalyptic number.

13211540325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13211540325 is a deficient number, since it is larger than the sum of its proper divisors (10451796749).

13211540325 is a wasteful number, since it uses less digits than its factorization.

13211540325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58717973 (or 58717965 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

It can be divided in two parts, 13211 and 540325, that added together give a square (553536 = 7442).

The spelling of 13211540325 in words is "thirteen billion, two hundred eleven million, five hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 58717957 176153871 293589785 528461613 880769355 1467948925 2642308065 4403846775 13211540325