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10102331320200 = 2332527801772327
BaseRepresentation
bin1001001100000010000111…
…0111101010011110001000
31022202202212211122221011200
42103000201313222132020
52311004033304221300
633252540312224200
72061604121251560
oct223004167523610
938682784587150
1010102331320200
113245413732529
121171a9639b060
13583851957c72
1426cd53a51da0
15127bb8b89200
hex93021dea788

10102331320200 has 144 divisors (see below), whose sum is σ = 38773709782080. Its totient is φ = 2309104298880.

The previous prime is 10102331320187. The next prime is 10102331320217. The reversal of 10102331320200 is 202313320101.

10102331320200 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 331 + 320 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400873564 + ... + 400898763.

Almost surely, 210102331320200 is an apocalyptic number.

10102331320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102331320200 is an abundant number, since it is smaller than the sum of its proper divisors (28671378461880).

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

10102331320200 is a wasteful number, since it uses less digits than its factorization.

10102331320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801772356 (or 801772344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10102331320200 its reverse (202313320101), we get a palindrome (10304644640301).

The spelling of 10102331320200 in words is "ten trillion, one hundred two billion, three hundred thirty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 801772327 1603544654 2405316981 3207089308 4008861635 4810633962 5612406289 6414178616 7215950943 8017723270 9621267924 11224812578 12026584905 14431901886 16035446540 16837218867 19242535848 20044308175 22449625156 24053169810 28062031445 28863803772 32070893080 33674437734 36079754715 40088616350 44899250312 48106339620 50511656601 56124062890 57727607544 60132924525 67348875468 72159509430 80177232700 84186094335 96212679240 101023313202 112248125780 120265849050 134697750936 140310157225 144319018860 160354465400 168372188670 180398773575 202046626404 224496251560 240531698100 252558283005 280620314450 288638037720 336744377340 360797547150 404093252808 420930471675 481063396200 505116566010 561240628900 673488754680 721595094300 841860943350 1010233132020 1122481257800 1262791415025 1443190188600 1683721886700 2020466264040 2525582830050 3367443773400 5051165660100 10102331320200