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13585058531 = 112412738371
BaseRepresentation
bin11001010011011101…
…11000101011100011
31022001202200110212222
430221232320223203
5210310233333111
610124010541255
7660436043432
oct145156705343
938052613788
1013585058531
115841458600
12277173782b
131386668795
1492c343119
155479bc7db
hex329bb8ae3

13585058531 has 12 divisors (see below), whose sum is σ = 15296545992. Its totient is φ = 12048828000.

The previous prime is 13585058521. The next prime is 13585058569.

13585058531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13585058531 - 26 = 13585058467 is a prime.

It is a super-2 number, since 2×135850585312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13585058521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1364225 + ... + 1374146.

It is an arithmetic number, because the mean of its divisors is an integer number (1274712166).

Almost surely, 213585058531 is an apocalyptic number.

13585058531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13585058531 is a deficient number, since it is larger than the sum of its proper divisors (1711487461).

13585058531 is a wasteful number, since it uses less digits than its factorization.

13585058531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738434 (or 2738423 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 44.

The spelling of 13585058531 in words is "thirteen billion, five hundred eighty-five million, fifty-eight thousand, five hundred thirty-one".

Divisors: 1 11 41 121 451 4961 2738371 30122081 112273211 331342891 1235005321 13585058531