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13102110303120 = 243358373081829
BaseRepresentation
bin1011111010101001001010…
…1000010110001110010000
31201101112211121001101012000
42332222102220112032100
53204131110214144440
643511005410434000
72521411336015206
oct276522250261620
951345747041160
1013102110303120
1141a1634770863
12157733a292900
137406a6752517
14334207455076
1517ac38cc1730
hexbea92a16390

13102110303120 has 160 divisors (see below), whose sum is σ = 45673220476800. Its totient is φ = 3451800900096.

The previous prime is 13102110303091. The next prime is 13102110303151. The reversal of 13102110303120 is 2130301120131.

13102110303120 is a `hidden beast` number, since 1 + 31 + 0 + 211 + 0 + 303 + 120 = 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 = 13102110303093 and 13102110303102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36361635 + ... + 36720194.

It is an arithmetic number, because the mean of its divisors is an integer number (285457627980).

Almost surely, 213102110303120 is an apocalyptic number.

13102110303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102110303120 is an abundant number, since it is smaller than the sum of its proper divisors (32571110173680).

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

13102110303120 is a wasteful number, since it uses less digits than its factorization.

13102110303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73081934 (or 73081922 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13102110303120 its reverse (2130301120131), we get a palindrome (15232411423251).

The spelling of 13102110303120 in words is "thirteen trillion, one hundred two billion, one hundred ten million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 83 90 108 120 135 144 166 180 216 240 249 270 332 360 415 432 498 540 664 720 747 830 996 1080 1245 1328 1494 1660 1992 2160 2241 2490 2988 3320 3735 3984 4482 4980 5976 6640 7470 8964 9960 11205 11952 14940 17928 19920 22410 29880 35856 44820 59760 89640 179280 73081829 146163658 219245487 292327316 365409145 438490974 584654632 657736461 730818290 876981948 1096227435 1169309264 1315472922 1461636580 1753963896 1973209383 2192454870 2630945844 2923273160 3288682305 3507927792 3946418766 4384909740 5261891688 5846546320 6065791807 6577364610 7892837532 8769819480 9866046915 10523783376 12131583614 13154729220 15785675064 17539638960 18197375421 19732093830 24263167228 26309458440 30328959035 31571350128 36394750842 39464187660 48526334456 52618916880 54592126263 60657918070 72789501684 78928375320 90986877105 97052668912 109184252526 121315836140 145579003368 157856750640 163776378789 181973754210 218368505052 242631672280 272960631315 291158006736 327552757578 363947508420 436737010104 485263344560 545921262630 655105515156 727895016840 818881893945 873474020208 1091842525260 1310211030312 1455790033680 1637763787890 2183685050520 2620422060624 3275527575780 4367370101040 6551055151560 13102110303120