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120203131120200 = 23325280818263769
BaseRepresentation
bin11011010101001011111000…
…111011100110101001001000
3120202121022021212211002212200
4123111023320323212221020
5111223402003031321300
61103352320041440200
734214250434211402
oct3325137073465110
9522538255732780
10120203131120200
1135333952912357
12115942094a0060
13520c15034b99b
142197c10d29b72
15dd6b5c91e200
hex6d52f8ee6a48

120203131120200 has 144 divisors (see below), whose sum is σ = 403732185351300. Its totient is φ = 32050197811200.

The previous prime is 120203131120133. The next prime is 120203131120223. The reversal of 120203131120200 is 2021131302021.

120203131120200 is a `hidden beast` number, since 1 + 20 + 20 + 313 + 112 + 0 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 63235989835236 + 56967141284964 = 7952106^2 + 7547658^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10413916 + ... + 18677684.

Almost surely, 2120203131120200 is an apocalyptic number.

120203131120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120203131120200 is an abundant number, since it is smaller than the sum of its proper divisors (283529054231100).

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

120203131120200 is a wasteful number, since it uses less digits than its factorization.

120203131120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271872 (or 8271860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120203131120200 its reverse (2021131302021), we get a palindrome (122224262422221).

The spelling of 120203131120200 in words is "one hundred twenty trillion, two hundred three billion, one hundred thirty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 8081 16162 24243 32324 40405 48486 64648 72729 80810 96972 121215 145458 161620 193944 202025 242430 290916 323240 363645 404050 484860 581832 606075 727290 808100 969720 1212150 1454580 1616200 1818225 2424300 2909160 3636450 4848600 7272900 8263769 14545800 16527538 24791307 33055076 41318845 49582614 66110152 74373921 82637690 99165228 123956535 148747842 165275380 198330456 206594225 247913070 297495684 330550760 371869605 413188450 495826140 594991368 619782675 743739210 826376900 991652280 1239565350 1487478420 1652753800 1859348025 2479130700 2974956840 3718696050 4958261400 7437392100 14874784200 66779517289 133559034578 200338551867 267118069156 333897586445 400677103734 534236138312 601015655601 667795172890 801354207468 1001692759335 1202031311202 1335590345780 1602708414936 1669487932225 2003385518670 2404062622404 2671180691560 3005078278005 3338975864450 4006771037340 4808125244808 5008463796675 6010156556010 6677951728900 8013542074680 10016927593350 12020313112020 13355903457800 15025391390025 20033855186700 24040626224040 30050782780050 40067710373400 60101565560100 120203131120200