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131343001432320 = 283567510506069
BaseRepresentation
bin11101110111010010101100…
…111100011011000100000000
3122020001021020121010211121110
4131313102230330123010000
5114203410431331313240
61143202050351323320
736444135005423406
oct3567225474330400
9566037217124543
10131343001432320
1138939288226a37
12128931a1520540
1358397904c8322
14246106c7b1476
15102b7ed72dc80
hex7774acf1b100

131343001432320 has 144 divisors (see below), whose sum is σ = 425737558088640. Its totient is φ = 34502042099712.

The previous prime is 131343001432231. The next prime is 131343001432369. The reversal of 131343001432320 is 23234100343131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254995755 + ... + 255510314.

It is an arithmetic number, because the mean of its divisors is an integer number (2956510820060).

Almost surely, 2131343001432320 is an apocalyptic number.

131343001432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343001432320 is an abundant number, since it is smaller than the sum of its proper divisors (294394556656320).

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

131343001432320 is an equidigital number, since it uses as much as digits as its factorization.

131343001432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510506160 (or 510506146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131343001432320 its reverse (23234100343131), we get a palindrome (154577101775451).

The spelling of 131343001432320 in words is "one hundred thirty-one trillion, three hundred forty-three billion, one million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 536 640 670 768 804 960 1005 1072 1280 1340 1608 1920 2010 2144 2680 3216 3840 4020 4288 5360 6432 8040 8576 10720 12864 16080 17152 21440 25728 32160 42880 51456 64320 85760 128640 257280 510506069 1021012138 1531518207 2042024276 2552530345 3063036414 4084048552 5105060690 6126072828 7657591035 8168097104 10210121380 12252145656 15315182070 16336194208 20420242760 24504291312 30630364140 32672388416 34203906623 40840485520 49008582624 61260728280 65344776832 68407813246 81680971040 98017165248 102611719869 122521456560 130689553664 136815626492 163361942080 171019533115 196034330496 205223439738 245042913120 273631252984 326723884160 342039066230 392068660992 410446879476 490085826240 513058599345 547262505968 653447768320 684078132460 820893758952 980171652480 1026117198690 1094525011936 1368156264920 1641787517904 1960343304960 2052234397380 2189050023872 2736312529840 3283575035808 4104468794760 4378100047744 5472625059680 6567150071616 8208937589520 8756200095488 10945250119360 13134300143232 16417875179040 21890500238720 26268600286464 32835750358080 43781000477440 65671500716160 131343001432320