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103101330111200 = 2552523296982997
BaseRepresentation
bin10111011100010100100110…
…001010000011101011100000
3111112001101112222001210112022
4113130110212022003223200
5102003203011002024300
61003140032554121012
730500553034136141
oct2734244612035340
9445041488053468
10103101330111200
112a940035002203
12b69188aa20168
13456b54bc04015
141b661b9687ac8
15bdbd7edda285
hex5dc526283ae0

103101330111200 has 144 divisors (see below), whose sum is σ = 252265352890320. Its totient is φ = 41147318661120.

The previous prime is 103101330111193. The next prime is 103101330111211. The reversal of 103101330111200 is 2111033101301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242188102 + ... + 1242271098.

It is an arithmetic number, because the mean of its divisors is an integer number (1751842728405).

Almost surely, 2103101330111200 is an apocalyptic number.

103101330111200 is a gapful number since it is divisible by the number (10) 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 103101330111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126132676445160).

103101330111200 is an abundant number, since it is smaller than the sum of its proper divisors (149164022779120).

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

103101330111200 is a wasteful number, since it uses less digits than its factorization.

103101330111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86509 (or 86496 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 103101330111200 its reverse (2111033101301), we get a palindrome (105212363212501).

The spelling of 103101330111200 in words is "one hundred three trillion, one hundred one billion, three hundred thirty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 523 800 1046 2092 2615 2969 4184 5230 5938 8368 10460 11876 13075 14845 16736 20920 23752 26150 29690 41840 47504 52300 59380 74225 82997 83680 95008 104600 118760 148450 165994 209200 237520 296900 331988 414985 418400 475040 593800 663976 829970 1187600 1327952 1552787 1659940 2074925 2375200 2655904 3105574 3319880 4149850 6211148 6639760 7763935 8299700 12422296 13279520 15527870 16599400 24844592 31055740 33198800 38819675 43407431 49689184 62111480 66397600 77639350 86814862 124222960 155278700 173629724 217037155 246418093 248445920 310557400 347259448 434074310 492836186 621114800 694518896 868148620 985672372 1085185775 1232090465 1242229600 1389037792 1736297240 1971344744 2170371550 2464180930 3472594480 3942689488 4340743100 4928361860 6160452325 6945188960 7885378976 8681486200 9856723720 12320904650 17362972400 19713447440 24641809300 34725944800 39426894880 49283618600 98567237200 128876662639 197134474400 257753325278 515506650556 644383313195 1031013301112 1288766626390 2062026602224 2577533252780 3221916565975 4124053204448 5155066505560 6443833131950 10310133011120 12887666263900 20620266022240 25775332527800 51550665055600 103101330111200