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120230022332100 = 223524011429699383
BaseRepresentation
bin11011010101100100111011…
…110001011011111011000100
3120202200212200222101012200210
4123111210323301123323010
5111224322041204111400
61103412524301435420
734216222014561162
oct3325447361337304
9522625628335623
10120230022332100
11353442a224191a
121159947326bb70
13521184762c9a5
142199242530232
15dd76d3665950
hex6d593bc5bec4

120230022332100 has 144 divisors (see below), whose sum is σ = 348977565256320. Its totient is φ = 31958959872000.

The previous prime is 120230022332099. The next prime is 120230022332113. The reversal of 120230022332100 is 1233220032021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171559009 + ... + 172258391.

It is an arithmetic number, because the mean of its divisors is an integer number (2423455314280).

Almost surely, 2120230022332100 is an apocalyptic number.

120230022332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120230022332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174488782628160).

120230022332100 is an abundant number, since it is smaller than the sum of its proper divisors (228747542924220).

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

120230022332100 is a wasteful number, since it uses less digits than its factorization.

120230022332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701230 (or 701223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120230022332100 its reverse (1233220032021), we get a palindrome (121463242364121).

The spelling of 120230022332100 in words is "one hundred twenty trillion, two hundred thirty billion, twenty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 401 802 1203 1429 1604 2005 2406 2858 4010 4287 4812 5716 6015 7145 8020 8574 10025 12030 14290 17148 20050 21435 24060 28580 30075 35725 40100 42870 60150 71450 85740 107175 120300 142900 214350 428700 573029 699383 1146058 1398766 1719087 2098149 2292116 2797532 2865145 3438174 3496915 4196298 5730290 6876348 6993830 8392596 8595435 10490745 11460580 13987660 14325725 17190870 17484575 20981490 28651450 34381740 34969150 41962980 42977175 52453725 57302900 69938300 85954350 104907450 171908700 209814900 280452583 560905166 841357749 999418307 1121810332 1402262915 1682715498 1998836614 2804525830 2998254921 3365430996 3997673228 4206788745 4997091535 5609051660 5996509842 7011314575 8413577490 9994183070 11993019684 14022629150 14991274605 16827154980 19988366140 21033943725 24985457675 28045258300 29982549210 42067887450 49970915350 59965098420 74956373025 84135774900 99941830700 149912746050 299825492100 400766741107 801533482214 1202300223321 1603066964428 2003833705535 2404600446642 4007667411070 4809200893284 6011501116605 8015334822140 10019168527675 12023002233210 20038337055350 24046004466420 30057505583025 40076674110700 60115011166050 120230022332100