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131032110312120 = 233523436491087663
BaseRepresentation
bin11101110010110001001010…
…011000111010101010111000
3122011221112210001122120122010
4131302301022120322222320
5114133312230214441440
61142403153115525520
736412520562463023
oct3562611230725270
9564845701576563
10131032110312120
11388294512a8956
1212842a987598a0
1358163761a45c4
14244ddb90221ba
1510236a4d3b580
hex772c4a63aab8

131032110312120 has 128 divisors (see below), whose sum is σ = 410197250304000. Its totient is φ = 33421886767104.

The previous prime is 131032110312073. The next prime is 131032110312121. The reversal of 131032110312120 is 21213011230131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131032110312121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119927409 + ... + 121015071.

It is an arithmetic number, because the mean of its divisors is an integer number (3204666018000).

Almost surely, 2131032110312120 is an apocalyptic number.

131032110312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131032110312120 is an abundant number, since it is smaller than the sum of its proper divisors (279165139991880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131032110312120 is a wasteful number, since it uses less digits than its factorization.

131032110312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131349 (or 1131345 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131032110312120 its reverse (21213011230131), we get a palindrome (152245121542251).

The spelling of 131032110312120 in words is "one hundred thirty-one trillion, thirty-two billion, one hundred ten million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 43649 87298 130947 174596 218245 261894 349192 436490 523788 654735 872980 1003927 1047576 1087663 1309470 1745960 2007854 2175326 2618940 3011781 3262989 4015708 4350652 5019635 5237880 5438315 6023562 6525978 8031416 8701304 10039270 10876630 12047124 13051956 15058905 16314945 20078540 21753260 24094248 25016249 26103912 30117810 32629890 40157080 43506520 50032498 60235620 65259780 75048747 100064996 120471240 125081245 130519560 150097494 200129992 250162490 300194988 375243735 500324980 600389976 750487470 1000649960 1500974940 3001949880 47475402287 94950804574 142426206861 189901609148 237377011435 284852413722 379803218296 474754022870 569704827444 712131034305 949508045740 1091934252601 1139409654888 1424262068610 1899016091480 2183868505202 2848524137220 3275802757803 4367737010404 5459671263005 5697048274440 6551605515606 8735474020808 10919342526010 13103211031212 16379013789015 21838685052020 26206422062424 32758027578030 43677370104040 65516055156060 131032110312120