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110001212221120 = 26511239130754579
BaseRepresentation
bin11001000000101110100111…
…001011011110011011000000
3112102111000100121112222212121
4121000232213023132123000
5103404224440312033440
61025541505333534024
732112216404315113
oct3100564713363300
9472430317488777
10110001212221120
1132060285633930
1210406b7b4a4314
13494c0ba48446c
141d24130d3257a
15cab5b5d6434a
hex640ba72de6c0

110001212221120 has 112 divisors (see below), whose sum is σ = 286948771084800. Its totient is φ = 39833074641920.

The previous prime is 110001212221073. The next prime is 110001212221133. The reversal of 110001212221120 is 21122212100011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110001212221094 and 110001212221103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64536010 + ... + 66218569.

Almost surely, 2110001212221120 is an apocalyptic number.

110001212221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001212221120 is an abundant number, since it is smaller than the sum of its proper divisors (176947558863680).

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

110001212221120 is a wasteful number, since it uses less digits than its factorization.

110001212221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130754846 (or 130754836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110001212221120 its reverse (21122212100011), we get a palindrome (131123424321131).

The spelling of 110001212221120 in words is "one hundred ten trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 239 320 352 440 478 704 880 956 1195 1760 1912 2390 2629 3520 3824 4780 5258 7648 9560 10516 13145 15296 19120 21032 26290 38240 42064 52580 76480 84128 105160 168256 210320 420640 841280 130754579 261509158 523018316 653772895 1046036632 1307545790 1438300369 2092073264 2615091580 2876600738 4184146528 5230183160 5753201476 7191501845 8368293056 10460366320 11506402952 14383003690 20920732640 23012805904 28766007380 31250344381 41841465280 46025611808 57532014760 62500688762 92051223616 115064029520 125001377524 156251721905 230128059040 250002755048 312503443810 343753788191 460256118080 500005510096 625006887620 687507576382 1000011020192 1250013775240 1375015152764 1718768940955 2000022040384 2500027550480 2750030305528 3437537881910 5000055100960 5500060611056 6875075763820 10000110201920 11000121222112 13750151527640 22000242444224 27500303055280 55000606110560 110001212221120