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13200882672431 = 1719592812465143
BaseRepresentation
bin1100000000011001000111…
…1011000010001100101111
31201201222210012200121201102
43000012101323002030233
53212240401431004211
644024222441233315
72531506115215406
oct300062173021457
951658705617642
1013200882672431
11422a510138843
121592504a9283b
13749ab7b1506c
14338cd743263d
1517d5ba363a3b
hexc0191ec232f

13200882672431 has 32 divisors (see below), whose sum is σ = 15015685132800. Its totient is φ = 11529764951040.

The previous prime is 13200882672421. The next prime is 13200882672433. The reversal of 13200882672431 is 13427628800231.

It is a cyclic number.

It is not a de Polignac number, because 13200882672431 - 226 = 13200815563567 is a prime.

It is a super-2 number, since 2×132008826724312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200882672433) 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 31 ways as a sum of consecutive naturals, for example, 4122446 + ... + 6587588.

It is an arithmetic number, because the mean of its divisors is an integer number (469240160400).

Almost surely, 213200882672431 is an apocalyptic number.

13200882672431 is a deficient number, since it is larger than the sum of its proper divisors (1814802460369).

13200882672431 is a wasteful number, since it uses less digits than its factorization.

13200882672431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465519.

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 13200882672431 in words is "thirteen trillion, two hundred billion, eight hundred eighty-two million, six hundred seventy-two thousand, four hundred thirty-one".

Divisors: 1 17 19 59 281 323 1003 1121 4777 5339 16579 19057 90763 281843 315001 2465143 5355017 41907431 46837717 145443437 692705183 796241189 2472538429 2763425303 11775988111 13161398477 40869605797 46978230151 223743774109 694783298549 776522510143 13200882672431