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131404331304120 = 233571241312602411
BaseRepresentation
bin11101111000001011110100…
…011111010100010010111000
3122020021010112210010010111210
4131320023310133110102320
5114210412032303212440
61143250152203323120
736451435553634360
oct3570136437242270
9566233483103453
10131404331304120
113896229a3543a6
12128a30588204a0
1358424b561bcb4
142464009b1d9a0
15102d1dcac2a80
hex7782f47d44b8

131404331304120 has 128 divisors (see below), whose sum is σ = 450565466595840. Its totient is φ = 30032853680640.

The previous prime is 131404331304097. The next prime is 131404331304139. The reversal of 131404331304120 is 21403133404131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4125715 + ... + 16728125.

It is an arithmetic number, because the mean of its divisors is an integer number (3520042707780).

Almost surely, 2131404331304120 is an apocalyptic number.

131404331304120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404331304120 is an abundant number, since it is smaller than the sum of its proper divisors (319161135291720).

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

131404331304120 is a wasteful number, since it uses less digits than its factorization.

131404331304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614845 (or 12614841 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131404331304120 its reverse (21403133404131), we get a palindrome (152807464708251).

The spelling of 131404331304120 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred thirty-one million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 12413 24826 37239 49652 62065 74478 86891 99304 124130 148956 173782 186195 248260 260673 297912 347564 372390 434455 496520 521346 695128 744780 868910 1042692 1303365 1489560 1737820 2085384 2606730 3475640 5213460 10426920 12602411 25204822 37807233 50409644 63012055 75614466 88216877 100819288 126024110 151228932 176433754 189036165 252048220 264650631 302457864 352867508 378072330 441084385 504096440 529301262 705735016 756144660 882168770 1058602524 1323253155 1512289320 1764337540 2117205048 2646506310 3528675080 5293012620 10586025240 156433727743 312867455486 469301183229 625734910972 782168638715 938602366458 1095036094201 1251469821944 1564337277430 1877204732916 2190072188402 2346505916145 3128674554860 3285108282603 3754409465832 4380144376804 4693011832290 5475180471005 6257349109720 6570216565206 8760288753608 9386023664580 10950360942010 13140433130412 16425541413015 18772047329160 21900721884020 26280866260824 32851082826030 43801443768040 65702165652060 131404331304120