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13342522524331 = 7111324317548143
BaseRepresentation
bin1100001000101000110001…
…0100001100001010101011
31202020112101100001121101011
43002022030110030022223
53222100441231234311
644213245323004351
72544652101125140
oct302121424141253
952215340047334
1013342522524331
114284594142990
1215b5a539696b7
1375a26b354110
14341ad276a3c7
1518210a007321
hexc228c50c2ab

13342522524331 has 32 divisors (see below), whose sum is σ = 17915205224448. Its totient is φ = 9596607027840.

The previous prime is 13342522524311. The next prime is 13342522524337.

13342522524331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13342522524331 - 221 = 13342520427179 is a prime.

It is a super-2 number, since 2×133425225243312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13342522524337) 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 31 ways as a sum of consecutive naturals, for example, 24067246 + ... + 24615388.

It is an arithmetic number, because the mean of its divisors is an integer number (559850163264).

Almost surely, 213342522524331 is an apocalyptic number.

13342522524331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13342522524331 is a deficient number, since it is larger than the sum of its proper divisors (4572682700117).

13342522524331 is a wasteful number, since it uses less digits than its factorization.

13342522524331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572491.

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 1334252 and 2524331, that added together give a palindrome (3858583).

The spelling of 13342522524331 in words is "thirteen trillion, three hundred forty-two billion, five hundred twenty-two million, five hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 24317 170219 267487 316121 548143 1872409 2212847 3477331 3837001 6029573 7125859 24341317 42207011 49881013 78384449 548691143 13329193331 93304353317 146621126641 173279513303 1026347886487 1212956593121 1906074646333 13342522524331