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110022120002010 = 23523829442343487
BaseRepresentation
bin11001000001000010000101…
…011000010101000111011010
3112102120000022201020022101210
4121001002011120111013122
5103410100300210031020
61025555244132123550
732113556461445406
oct3101020530250732
9472500281208353
10110022120002010
113206913451a097
121040b0354665b6
13495106cc4b248
141d251559dc106
15cabddb6473e0
hex6410856151da

110022120002010 has 128 divisors (see below), whose sum is σ = 275934741626880. Its totient is φ = 28022779166976.

The previous prime is 110022120001939. The next prime is 110022120002027. The reversal of 110022120002010 is 10200021220011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2529978487 + ... + 2530021973.

It is an arithmetic number, because the mean of its divisors is an integer number (2155740168960).

Almost surely, 2110022120002010 is an apocalyptic number.

110022120002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110022120002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137967370813440).

110022120002010 is an abundant number, since it is smaller than the sum of its proper divisors (165912621624870).

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

110022120002010 is a wasteful number, since it uses less digits than its factorization.

110022120002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48772.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110022120002010 its reverse (10200021220011), we get a palindrome (120222141222021).

The spelling of 110022120002010 in words is "one hundred ten trillion, twenty-two billion, one hundred twenty million, two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 829 1658 2487 4145 4423 4974 8290 8846 12435 13269 19067 22115 24870 26538 38134 43487 44230 57201 66345 86974 95335 101729 114402 130461 132690 190670 203458 217435 260922 286005 305187 434870 508645 572010 610374 652305 1000201 1017290 1304610 1525935 2000402 3000603 3051870 3666667 5001005 6001206 7333334 10002010 11000001 15003015 18333335 22000002 30006030 36050723 36666670 55000005 72101446 84333341 108152169 110000010 168666682 180253615 192343001 216304338 253000023 360507230 384686002 421666705 506000046 540760845 577029003 829166629 843333410 961715005 1081521690 1154058006 1265000115 1658333258 1923430010 2487499887 2530000230 2885145015 4145833145 4423889023 4974999774 5770290030 8291666290 8847778046 12437499435 13271667069 22119445115 24874998870 26543334138 44238890230 66358335345 132716670690 159452347829 318904695658 478357043487 797261739145 956714086974 1594523478290 2391785217435 3667404000067 4783570434870 7334808000134 11002212000201 18337020000335 22004424000402 36674040000670 55011060001005 110022120002010