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132322424223231 = 321123715723099059
BaseRepresentation
bin11110000101100010110111…
…000101110111010111111111
3122100111220022020220201211100
4132011202313011313113333
5114320432311100120411
61145232025453024143
736604660011661254
oct3605426705672777
9570456266821740
10132322424223231
1139186696921100
1212a10b80185053
1358aac496401a8
142496621ddd42b
15104702370e456
hex7858b71775ff

132322424223231 has 144 divisors (see below), whose sum is σ = 217258038597600. Its totient is φ = 77488839267840.

The previous prime is 132322424223229. The next prime is 132322424223259.

132322424223231 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 2 + 424 + 223 + 2 + 3 + 1 = 666.

132322424223231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132322424223231 - 21 = 132322424223229 is a prime.

It is a super-2 number, since 2×1323224242232312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132322424223331) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14606731780 + ... + 14606740838.

It is an arithmetic number, because the mean of its divisors is an integer number (1508736379150).

Almost surely, 2132322424223231 is an apocalyptic number.

132322424223231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132322424223231 is a deficient number, since it is larger than the sum of its proper divisors (84935614374369).

132322424223231 is a wasteful number, since it uses less digits than its factorization.

132322424223231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590 (or 11576 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 132322424223231 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 157 333 363 407 471 1089 1221 1413 1727 2309 3663 4477 5181 5809 6927 9059 13431 15543 17427 18997 20781 25399 27177 40293 52281 56991 63899 76197 81531 85433 99649 170973 191697 228591 256299 279389 298947 335183 362513 575091 702889 768897 838167 896841 939763 1005549 1087539 1096139 1422263 2108667 2514501 2819289 3016647 3262617 3288417 3687013 3987643 4266789 6326001 8457867 9865251 10337393 11061039 11962929 12800367 13412981 15644893 20917231 31012179 33183117 35888787 40238943 40557143 43864073 46934679 52623731 62751693 93036537 120716829 121671429 131592219 140804037 147542791 157871193 172093823 188255079 230089541 365014287 394776657 442628373 473613579 516281469 578861041 690268623 773937547 1327885119 1548844407 1622970701 1736583123 2070805869 2321812641 2530984951 3284005267 4868912103 5209749369 6367471451 6965437923 7592954853 8513313017 9852015801 14606736309 19102414353 22778864559 25539939051 29556047403 36124057937 57307243059 76619817153 93646443187 108372173811 121508194879 280939329561 325116521433 364524584637 397364637307 842817988683 1093573753911 1192093911921 1336590143669 3576281735763 4009770431007 12029311293021 14702491580359 44107474741077 132322424223231