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200100211112200 = 23527261733307693
BaseRepresentation
bin101101011111110101110110…
…000000001011100100001000
3222020111101121202112000022111
4231133311312000023210020
5202211420213021042300
61545324433513232104
760101522524601500
oct5537656600134410
9866441552460274
10200100211112200
1158838028631143
121a538917a02634
1387864a4746789
14375ac8ab1aa00
1518200ebaca9ba
hexb5fd7600b908

200100211112200 has 144 divisors (see below), whose sum is σ = 541277231547780. Its totient is φ = 68594652080640.

The previous prime is 200100211112183. The next prime is 200100211112209. The reversal of 200100211112200 is 2211112001002.

It can be written as a sum of positive squares in 6 ways, for example, as 465748921764 + 199634462190436 = 682458^2 + 14129206^2 .

It is not an unprimeable number, because it can be changed into a prime (200100211112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58841554 + ... + 62149246.

Almost surely, 2200100211112200 is an apocalyptic number.

200100211112200 is a gapful number since it is divisible by the number (20) 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 200100211112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270638615773890).

200100211112200 is an abundant number, since it is smaller than the sum of its proper divisors (341177020435580).

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

200100211112200 is a wasteful number, since it uses less digits than its factorization.

200100211112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313896 (or 3313880 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200100211112200 its reverse (2211112001002), we get a palindrome (202311323113202).

The spelling of 200100211112200 in words is "two hundred trillion, one hundred billion, two hundred eleven million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 6173 9800 12346 24692 30865 43211 49384 61730 86422 123460 154325 172844 216055 246920 302477 308650 345688 432110 604954 617300 864220 1080275 1209908 1234600 1512385 1728440 2160550 2419816 3024770 3307693 4321100 6049540 6615386 7561925 8642200 12099080 13230772 15123850 16538465 23153851 26461544 30247700 33076930 46307702 60495400 66153860 82692325 92615404 115769255 132307720 162076957 165384650 185230808 231538510 324153914 330769300 463077020 578846275 648307828 661538600 810384785 926154040 1157692550 1296615656 1620769570 2315385100 3241539140 4051923925 4630770200 6483078280 8103847850 16207695700 20418388889 32415391400 40836777778 81673555556 102091944445 142928722223 163347111112 204183888890 285857444446 408367777780 510459722225 571714888892 714643611115 816735555560 1000501055561 1020919444450 1143429777784 1429287222230 2001002111122 2041838888900 2858574444460 3573218055575 4002004222244 4083677777800 5002505277805 5717148888920 7146436111150 8004008444488 10005010555610 14292872222300 20010021111220 25012526389025 28585744444600 40020042222440 50025052778050 100050105556100 200100211112200