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32131201223121 = 37111343509488861
BaseRepresentation
bin1110100111001001000001…
…10101011100100111010001
311012202201020122210022102020
413103210200311130213101
513202414200003114441
6152200511533442053
76524255056032660
oct723444065344721
9135681218708366
1032131201223121
11a268847482750
12372b2aa340329
1314c0c616aa250
147d1230a72dd7
153aac162e7e66
hex1d3920d5c9d1

32131201223121 has 128 divisors (see below), whose sum is σ = 58975060193280. Its totient is φ = 15019656422400.

The previous prime is 32131201223083. The next prime is 32131201223137. The reversal of 32131201223121 is 12132210213123.

It is not a de Polignac number, because 32131201223121 - 26 = 32131201223057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32131201223091 and 32131201223100.

It is not an unprimeable number, because it can be changed into a prime (32131200223121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65482231 + ... + 65971091.

It is an arithmetic number, because the mean of its divisors is an integer number (460742657760).

Almost surely, 232131201223121 is an apocalyptic number.

It is an amenable number.

32131201223121 is a deficient number, since it is larger than the sum of its proper divisors (26843858970159).

32131201223121 is a wasteful number, since it uses less digits than its factorization.

32131201223121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489447.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 32131201223121 its reverse (12132210213123), we get a palindrome (44263411436244).

The spelling of 32131201223121 in words is "thirty-two trillion, one hundred thirty-one billion, two hundred one million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 43 77 91 129 143 231 273 301 429 473 509 559 903 1001 1419 1527 1677 3003 3311 3563 3913 5599 6149 6617 9933 10689 11739 16797 18447 19851 21887 39193 43043 46319 65661 72787 117579 129129 138957 153209 218361 240757 284531 459627 488861 509509 722271 853593 1466583 1528527 1685299 1991717 3129841 3422027 5055897 5377471 5975151 6355193 9389523 10266081 16132413 19065579 21021023 21908887 37642297 44486351 63063069 65726661 69907123 112926891 133459053 147147161 209721369 231231253 248830249 273273299 441441483 489349861 693693759 746490747 819819897 1468049583 1618618771 1741811743 1912913093 2737132739 3006006289 3234793237 4855856313 5225435229 5738739279 8211398217 9018018867 9704379711 10699700707 19159929173 21042044023 22643552659 32099102121 35582725607 57479787519 63126132069 67930657977 74897904949 106748176821 117696707777 139096109191 224693714847 249079079249 353090123331 417288327573 747237237747 823876954439 973672764337 1530057201101 2471630863317 2921018293011 4590171603303 10710400407707 32131201223121