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231231321321 = 3711131092932411
BaseRepresentation
bin1101011101011001110…
…1011111010011101001
3211002211220112012011220
43113112131133103221
512242030204240241
6254120505412253
722464061541640
oct3272635372351
9732756465156
10231231321321
118a079064160
1238992a9a089
1318a60823c70
14b297c90357
156035224166
hex35d675f4e9

231231321321 has 128 divisors (see below), whose sum is σ = 419349934080. Its totient is φ = 109442534400.

The previous prime is 231231321313. The next prime is 231231321337. The reversal of 231231321321 is 123123132132.

It is not a de Polignac number, because 231231321321 - 23 = 231231321313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231231321291 and 231231321300.

It is not an unprimeable number, because it can be changed into a prime (231231322321) 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, 95905606 + ... + 95908016.

It is an arithmetic number, because the mean of its divisors is an integer number (3276171360).

Almost surely, 2231231321321 is an apocalyptic number.

231231321321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231231321321 is a deficient number, since it is larger than the sum of its proper divisors (188118612759).

231231321321 is a wasteful number, since it uses less digits than its factorization.

231231321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847.

The product of its digits is 1296, while the sum is 24.

Adding to 231231321321 its reverse (123123132132), we get a palindrome (354354453453).

The spelling of 231231321321 in words is "two hundred thirty-one billion, two hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 109 143 231 273 293 327 429 763 879 1001 1199 1417 2051 2289 2411 3003 3223 3597 3809 4251 6153 7233 8393 9669 9919 11427 15587 16877 22561 25179 26521 26663 29757 31343 31937 41899 46761 50631 67683 79563 79989 94029 95811 109109 125697 185647 219401 223559 262799 293293 327327 344773 351307 415181 556941 658203 670677 706423 788397 879879 1034319 1053921 1245543 1839593 2119269 2413411 2459149 2890789 2906267 3416387 4566991 4944961 5518779 7240233 7377447 7770653 8672367 8718801 9183499 10249161 13700973 14834883 20235523 23311959 23914709 27550497 31968937 37580257 54394571 60706569 64284493 71744127 77000107 95906811 101018489 112740771 163183713 192853479 231000321 263061799 303055467 539000749 707129423 789185397 847001177 1001001391 1617002247 2121388269 2541003531 3003004173 5929008239 7007009737 11011015301 17787024717 21021029211 33033045903 77077107107 231231321321