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200332012133100 = 223523738567467963
BaseRepresentation
bin101101100011001101101110…
…011010111001101011101100
3222021022112221101000221101210
4231203031232122321223230
5202224214430101224400
61550023131133434420
760124340005013241
oct5543155632715354
9867275841027353
10200332012133100
1158917369227aa1
121a57582963ba10
1387a22c62b7683
14376819a5075c8
151826166d34950
hexb6336e6b9aec

200332012133100 has 144 divisors (see below), whose sum is σ = 595309598247168. Its totient is φ = 51976576776960.

The previous prime is 200332012133087. The next prime is 200332012133131. The reversal of 200332012133100 is 1331210233002.

It is a super-2 number, since 2×2003320121331002 (a number of 29 digits) contains 22 as substring.

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, 427859719 + ... + 428327681.

It is an arithmetic number, because the mean of its divisors is an integer number (4134094432272).

Almost surely, 2200332012133100 is an apocalyptic number.

200332012133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200332012133100 is an abundant number, since it is smaller than the sum of its proper divisors (394977586114068).

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

200332012133100 is a wasteful number, since it uses less digits than its factorization.

200332012133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506584 (or 506577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 200332012133100 its reverse (1331210233002), we get a palindrome (201663222366102).

The spelling of 200332012133100 in words is "two hundred trillion, three hundred thirty-two billion, twelve million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 38567 77134 115701 154268 192835 231402 385670 462804 467963 578505 771340 935926 964175 1157010 1403889 1426979 1871852 1928350 2314020 2339815 2807778 2853958 2892525 3856700 4280937 4679630 5615556 5707916 5785050 7019445 7134895 8561874 9359260 11570100 11699075 14038890 14269790 17123748 17314631 21404685 23398150 28077780 28539580 34629262 35097225 35674475 42809370 46796300 51943893 69258524 70194450 71348950 85618740 86573155 103887786 107023425 140388900 142697900 173146310 207775572 214046850 259719465 346292620 428093700 432865775 519438930 865731550 1038877860 1298597325 1731463100 2597194650 5194389300 18047929021 36095858042 54143787063 72191716084 90239645105 108287574126 180479290210 216575148252 270718935315 360958580420 451198225525 541437870630 667773373777 902396451050 1082875741260 1335546747554 1353594676575 1804792902100 2003320121331 2671093495108 2707189353150 3338866868885 4006640242662 5414378706300 6677733737770 8013280485324 10016600606655 13355467475540 16694334344425 20033201213310 33388668688850 40066402426620 50083003033275 66777337377700 100166006066550 200332012133100