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13652810805131 = 4114918192913291
BaseRepresentation
bin1100011010101100101011…
…1100000010111110001011
31210100012021212012110011022
43012223022330002332023
53242141424031231011
645012003101423055
72606245244032331
oct306531274027613
953305255173138
1013652810805131
114394140853893
12164600a86aa8b
137805ba7c6a34
14352b2a033b51
1518a21aa1a8db
hexc6acaf02f8b

13652810805131 has 32 divisors (see below), whose sum is σ = 14173764696000. Its totient is φ = 13142172672000.

The previous prime is 13652810805119. The next prime is 13652810805157. The reversal of 13652810805131 is 13150801825631.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13652810805131 is a prime.

It is a super-2 number, since 2×136528108051312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13652810805631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027215596 + ... + 1027228886.

It is an arithmetic number, because the mean of its divisors is an integer number (442930146750).

Almost surely, 213652810805131 is an apocalyptic number.

13652810805131 is a deficient number, since it is larger than the sum of its proper divisors (520953890869).

13652810805131 is a wasteful number, since it uses less digits than its factorization.

13652810805131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591.

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 13652810805131 in words is "thirteen trillion, six hundred fifty-two billion, eight hundred ten million, eight hundred five thousand, one hundred thirty-one".

Divisors: 1 41 149 181 929 6109 7421 13291 26969 38089 138421 168149 544931 1105729 1980359 2405671 5675261 6894109 12347339 25054201 81194719 98632511 358444979 506240899 1027222241 1839753511 2234868359 14696244139 75429893951 91629602719 332995385491 13652810805131