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55110610106100 = 223252411493512469
BaseRepresentation
bin11001000011111011100000…
…10101101011011011110100
321020010112010011200222011100
430201331300111223123310
524210413012141343400
6313113244220210100
714415416202523563
oct1441756025533364
9236115104628140
1055110610106100
111661830774647a
12622097b999930
132499ba650a963
14d875211cbbda
15658847ce1100
hex321f7056b6f4

55110610106100 has 108 divisors (see below), whose sum is σ = 176954344470540. Its totient is φ = 14337719692800.

The previous prime is 55110610106087. The next prime is 55110610106207. The reversal of 55110610106100 is 160101601155.

55110610106100 is a `hidden beast` number, since 551 + 1 + 0 + 6 + 1 + 0 + 1 + 0 + 6 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29001003726564 + 26109606379536 = 5385258^2 + 5109756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 746719335 + ... + 746793134.

It is an arithmetic number, because the mean of its divisors is an integer number (1638466152505).

Almost surely, 255110610106100 is an apocalyptic number.

55110610106100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55110610106100 is an abundant number, since it is smaller than the sum of its proper divisors (121843734364440).

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

55110610106100 is a wasteful number, since it uses less digits than its factorization.

55110610106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493512530 (or 1493512520 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 55110610106100 its reverse (160101601155), we get a palindrome (55270711707255).

The spelling of 55110610106100 in words is "fifty-five trillion, one hundred ten billion, six hundred ten million, one hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 1493512469 2987024938 4480537407 5974049876 7467562345 8961074814 13441612221 14935124690 17922149628 22402687035 26883224442 29870249380 37337811725 44805374070 53766448884 61234011229 67208061105 74675623450 89610748140 112013435175 122468022458 134416122210 149351246900 183702033687 224026870350 244936044916 268832244420 306170056145 336040305525 367404067374 448053740700 551106101061 612340112290 672080611050 734808134748 918510168435 1102212202122 1224680224580 1344161222100 1530850280725 1837020336870 2204424404244 2755530505305 3061700561450 3674040673740 4592550842175 5511061010610 6123401122900 9185101684350 11022122021220 13777652526525 18370203368700 27555305053050 55110610106100