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131312301411300 = 223523471951646543
BaseRepresentation
bin11101110110110110000111…
…000101001000101111100100
3122012221100000001122011220220
4131312312013011020233210
5114202410043130130200
61143140012151324340
736442000145515062
oct3566660705105744
9565840001564826
10131312301411300
1138927263929839
12128892540806b0
13583690a0b7409
14245d7993c5032
15102ab0342b4a0
hex776d87148be4

131312301411300 has 144 divisors (see below), whose sum is σ = 381221045624832. Its totient is φ = 34897750992000.

The previous prime is 131312301411299. The next prime is 131312301411307. The reversal of 131312301411300 is 3114103213131.

It is not an unprimeable number, because it can be changed into a prime (131312301411307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202775829 + ... + 203422371.

Almost surely, 2131312301411300 is an apocalyptic number.

131312301411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131312301411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190610522812416).

131312301411300 is an abundant number, since it is smaller than the sum of its proper divisors (249908744213532).

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

131312301411300 is a wasteful number, since it uses less digits than its factorization.

131312301411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648858 (or 648851 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131312301411300 its reverse (3114103213131), we get a palindrome (134426404624431).

The spelling of 131312301411300 in words is "one hundred thirty-one trillion, three hundred twelve billion, three hundred one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 347 694 1041 1388 1735 1951 2082 3470 3902 4164 5205 5853 6940 7804 8675 9755 10410 11706 17350 19510 20820 23412 26025 29265 34700 39020 48775 52050 58530 97550 104100 117060 146325 195100 292650 585300 646543 676997 1293086 1353994 1939629 2030991 2586172 2707988 3232715 3384985 3879258 4061982 6465430 6769970 7758516 8123964 9698145 10154955 12930860 13539940 16163575 16924925 19396290 20309910 32327150 33849850 38792580 40619820 48490725 50774775 64654300 67699700 96981450 101549550 193962900 203099100 224350421 448700842 673051263 897401684 1121752105 1261405393 1346102526 2243504210 2522810786 2692205052 3365256315 3784216179 4487008420 5045621572 5608760525 6307026965 6730512630 7568432358 11217521050 12614053930 13461025260 15136864716 16826281575 18921080895 22435042100 25228107860 31535134825 33652563150 37842161790 63070269650 67305126300 75684323580 94605404475 126140539300 189210808950 378421617900 437707671371 875415342742 1313123014113 1750830685484 2188538356855 2626246028226 4377076713710 5252492056452 6565615070565 8754153427420 10942691784275 13131230141130 21885383568550 26262460282260 32828075352825 43770767137100 65656150705650 131312301411300