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323211310132131 = 3610710970953617
BaseRepresentation
bin100100101111101010111111…
…1010100111110101110100011
31120101101200212220222022000000
41021133111333110332232203
5314330443230343212011
63103225120455231043
7125036150366325201
oct11137257724765643
91511350786868000
10323211310132131
1193a92168517073
1230300625978483
1310b46907799a95
1459b5721bcc071
1527577042ad356
hex125f57f53eba3

323211310132131 has 112 divisors (see below), whose sum is σ = 494317017295200. Its totient is φ = 211199827037184.

The previous prime is 323211310132129. The next prime is 323211310132133. The reversal of 323211310132131 is 131231013112323.

323211310132131 is a `hidden beast` number, since 3 + 2 + 3 + 21 + 1 + 310 + 1 + 321 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (323211310132129) and next prime (323211310132133).

It is not a de Polignac number, because 323211310132131 - 21 = 323211310132129 is a prime.

It is a super-2 number, since 2×3232113101321312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323211310132095 and 323211310132104.

It is not an unprimeable number, because it can be changed into a prime (323211310132133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6028123035 + ... + 6028176651.

Almost surely, 2323211310132131 is an apocalyptic number.

323211310132131 is a deficient number, since it is larger than the sum of its proper divisors (171105707163069).

323211310132131 is a wasteful number, since it uses less digits than its factorization.

323211310132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54560 (or 54545 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 323211310132131 its reverse (131231013112323), we get a palindrome (454442323244454).

The spelling of 323211310132131 in words is "three hundred twenty-three trillion, two hundred eleven billion, three hundred ten million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 107 109 243 321 327 709 729 963 981 2127 2889 2943 6381 8667 8829 11663 19143 26001 26487 34989 53617 57429 75863 77281 78003 79461 104967 160851 172287 227589 231843 314901 482553 516861 682767 695529 944703 1447659 2048301 2086587 2834109 4342977 5737019 5844253 6144903 6259761 8269067 8502327 13028931 17211057 17532759 18434709 18779283 24807201 38014453 39086793 51633171 52598277 55304127 56337849 74421603 114043359 154899513 157794831 223264809 342130077 464698539 473384493 625335071 669794427 1026390231 1394095617 1420153479 1876005213 2009383281 3079170693 4067546471 4143575377 4182286851 4260460437 5628015639 6028149843 9237512079 12202639413 12430726131 16884046917 27712536237 36607918239 37292178393 50652140751 109823754717 111876535179 151956422253 329471264151 335629605537 443362565339 455869266759 988413792453 1006888816611 1330087696017 2965241377359 3020666449833 3990263088051 11970789264153 35912367792459 107737103377377 323211310132131