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200144100211020 = 22345717649391553
BaseRepresentation
bin101101100000011110101101…
…111111110011100101001100
3222020122120220110121020110000
4231200132231333303211030
5202213130104123223040
61545400532541044300
760104635245022020
oct5540365577634514
9866576813536400
10200144100211020
11588546aa906739
121a545326256690
13878a67a45b134
14375d051a10380
151821319c2d130
hexb607adff394c

200144100211020 has 120 divisors (see below), whose sum is σ = 717553663019424. Its totient is φ = 45747222902784.

The previous prime is 200144100210997. The next prime is 200144100211067. The reversal of 200144100211020 is 20112001441002.

200144100211020 is a `hidden beast` number, since 20 + 0 + 1 + 4 + 410 + 0 + 211 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200144100210984 and 200144100211002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8824684437 + ... + 8824707116.

Almost surely, 2200144100211020 is an apocalyptic number.

200144100211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200144100211020 is an abundant number, since it is smaller than the sum of its proper divisors (517409562808404).

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

200144100211020 is a wasteful number, since it uses less digits than its factorization.

200144100211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17649391581 (or 17649391570 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200144100211020 its reverse (20112001441002), we get a palindrome (220256101652022).

The spelling of 200144100211020 in words is "two hundred trillion, one hundred forty-four billion, one hundred million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 17649391553 35298783106 52948174659 70597566212 88246957765 105896349318 123545740871 158844523977 176493915530 211792698636 247091481742 264740873295 317689047954 352987831060 370637222613 476533571931 494182963484 529481746590 617728704355 635378095908 741274445226 794222619885 953067143862 1058963493180 1111911667839 1235457408710 1429600715793 1482548890452 1588445239770 1853186113065 1906134287724 2223823335678 2382667859655 2470914817420 2859201431586 3176890479540 3335735003517 3706372226130 4447646671356 4765335719310 5559558339195 5718402863172 6671470007034 7148003578965 7412744452260 9530671438620 10007205010551 11119116678390 13342940014068 14296007157930 16678675017585 20014410021102 22238233356780 28592014315860 33357350035170 40028820042204 50036025052755 66714700070340 100072050105510 200144100211020