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120201100112100 = 223527101566719001
BaseRepresentation
bin11011010101001001111111…
…110111111011000011100100
3120202121010001100010012112110
4123111021333313323003210
5111223333323112041400
61103351342330121020
734214146213012110
oct3325117767730344
9522533040105473
10120201100112100
1135333000416967
1211593941280170
13520bbb8638847
142197a9b2bc740
15dd6a8e483e50
hex6d527fdfb0e4

120201100112100 has 144 divisors (see below), whose sum is σ = 401400268488576. Its totient is φ = 27202512000000.

The previous prime is 120201100112081. The next prime is 120201100112123. The reversal of 120201100112100 is 1211001102021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283147401 + ... + 283571600.

It is an arithmetic number, because the mean of its divisors is an integer number (2787501864504).

Almost surely, 2120201100112100 is an apocalyptic number.

120201100112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201100112100 is an abundant number, since it is smaller than the sum of its proper divisors (281199168376476).

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

120201100112100 is a wasteful number, since it uses less digits than its factorization.

120201100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566719126 (or 566719119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120201100112100 its reverse (1211001102021), we get a palindrome (121412101214121).

The spelling of 120201100112100 in words is "one hundred twenty trillion, two hundred one billion, one hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 101 105 140 150 175 202 210 300 303 350 404 420 505 525 606 700 707 1010 1050 1212 1414 1515 2020 2100 2121 2525 2828 3030 3535 4242 5050 6060 7070 7575 8484 10100 10605 14140 15150 17675 21210 30300 35350 42420 53025 70700 106050 212100 566719001 1133438002 1700157003 2266876004 2833595005 3400314006 3967033007 5667190010 6800628012 7934066014 8500785015 11334380020 11901099021 14167975025 15868132028 17001570030 19835165035 23802198042 28335950050 34003140060 39670330070 42503925075 47604396084 56671900100 57238619101 59505495105 79340660140 85007850150 99175825175 114477238202 119010990210 170015700300 171715857303 198351650350 228954476404 238021980420 286193095505 297527475525 343431714606 396703300700 400670333707 572386191010 595054951050 686863429212 801340667414 858579286515 1144772382020 1190109902100 1202011001121 1430965477525 1602681334828 1717158573030 2003351668535 2404022002242 2861930955050 3434317146060 4006703337070 4292896432575 4808044004484 5723861910100 6010055005605 8013406674140 8585792865150 10016758342675 12020110011210 17171585730300 20033516685350 24040220022420 30050275028025 40067033370700 60100550056050 120201100112100