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131000132343321 = 32739107069183959
BaseRepresentation
bin11101110010010011011000…
…010110101001011000011001
3122011211111020110110110011100
4131302103120112221120121
5114132301232334441241
61142340344025022013
736410306254311213
oct3562233026513031
9564744213413140
10131000132343321
11388169315a566a
1212838853324909
13581334b0a9c87
14244c6240155b3
1510229327529b6
hex7724d85a9619

131000132343321 has 24 divisors (see below), whose sum is σ = 189481265064000. Its totient is φ = 87213955057632.

The previous prime is 131000132343313. The next prime is 131000132343347. The reversal of 131000132343321 is 123343231000131.

131000132343321 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 0 + 1 + 323 + 4 + 332 + 1 = 666.

It is not a de Polignac number, because 131000132343321 - 23 = 131000132343313 is a prime.

It is a super-4 number, since 4×1310001323433214 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131000132343391) 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 23 ways as a sum of consecutive naturals, for example, 712023940 + ... + 712207898.

It is an arithmetic number, because the mean of its divisors is an integer number (7895052711000).

Almost surely, 2131000132343321 is an apocalyptic number.

It is an amenable number.

131000132343321 is a deficient number, since it is larger than the sum of its proper divisors (58481132720679).

131000132343321 is a wasteful number, since it uses less digits than its factorization.

131000132343321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291773 (or 291770 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131000132343321 its reverse (123343231000131), we get a palindrome (254343363343452).

The spelling of 131000132343321 in words is "one hundred thirty-one trillion, one hundred thirty-two million, three hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 739 2217 6651 107069 183959 321207 551877 963621 1655631 79123991 135945701 237371973 407837103 712115919 1223511309 19696306171 59088918513 177266755539 14555570260369 43666710781107 131000132343321