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131044404123120 = 24357111368056631
BaseRepresentation
bin11101110010111100100111…
…001010000101010111110000
3122011222201111211121212220110
4131302330213022011113300
5114134012414423414440
61142412545042541320
736413434332241425
oct3562744712052760
9564881454555813
10131044404123120
113883368a897034
1212845349967840
13581758517ab97
142450823a81d4c
151023b74297080
hex772f272855f0

131044404123120 has 160 divisors (see below), whose sum is σ = 415604973579264. Its totient is φ = 34148094668800.

The previous prime is 131044404123109. The next prime is 131044404123121. The reversal of 131044404123120 is 21321404440131.

It is a happy number.

It is a super-2 number, since 2×1310444041231202 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131044404123121) 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, 32102796 + ... + 35953835.

Almost surely, 2131044404123120 is an apocalyptic number.

131044404123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131044404123120 is an abundant number, since it is smaller than the sum of its proper divisors (284560569456144).

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

131044404123120 is a wasteful number, since it uses less digits than its factorization.

131044404123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68056831 (or 68056825 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131044404123120 its reverse (21321404440131), we get a palindrome (152365808563251).

The spelling of 131044404123120 in words is "one hundred thirty-one trillion, forty-four billion, four hundred four million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 113 120 142 213 226 240 284 339 355 426 452 565 568 678 710 852 904 1065 1130 1136 1356 1420 1695 1704 1808 2130 2260 2712 2840 3390 3408 4260 4520 5424 5680 6780 8023 8520 9040 13560 16046 17040 24069 27120 32092 40115 48138 64184 80230 96276 120345 128368 160460 192552 240690 320920 385104 481380 641840 962760 1925520 68056631 136113262 204169893 272226524 340283155 408339786 544453048 680566310 816679572 1020849465 1088906096 1361132620 1633359144 2041698930 2722265240 3266718288 4083397860 4832020801 5444530480 7690399303 8166795720 9664041602 14496062403 15380798606 16333591440 19328083204 23071197909 24160104005 28992124806 30761597212 38451996515 38656166408 46142395818 48320208010 57984249612 61523194424 72480312015 76903993030 77312332816 92284791636 96640416020 115355989545 115968499224 123046388848 144960624030 153807986060 184569583272 193280832040 230711979090 231936998448 289921248060 307615972120 369139166544 386561664080 461423958180 546018350513 579842496120 615231944240 922847916360 1092036701026 1159684992240 1638055051539 1845695832720 2184073402052 2730091752565 3276110103078 4368146804104 5460183505130 6552220206156 8190275257695 8736293608208 10920367010260 13104440412312 16380550515390 21840734020520 26208880824624 32761101030780 43681468041040 65522202061560 131044404123120