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120112100110210 = 251319733743332141
BaseRepresentation
bin11011010011110111000111…
…000011110110111110000010
3120202021121022202220122221011
4123103313013003312332002
5111220404040112011320
61103242423111151134
734204545545330665
oct3323670703667602
9522247282818834
10120112100110210
11352a928a21819a
121157a6433754aa
1352036a3a52930
14219365712b6dc
15dd45d0cd805a
hex6d3dc70f6f82

120112100110210 has 128 divisors (see below), whose sum is σ = 235258355876544. Its totient is φ = 43890063114240.

The previous prime is 120112100110201. The next prime is 120112100110313. The reversal of 120112100110210 is 12011001211021.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 304561600641 + 119807538509569 = 551871^2 + 10945663^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 3737020740 + ... + 3737052880.

Almost surely, 2120112100110210 is an apocalyptic number.

120112100110210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120112100110210 is a deficient number, since it is larger than the sum of its proper divisors (115146255766334).

120112100110210 is a wasteful number, since it uses less digits than its factorization.

120112100110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33128.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120112100110210 its reverse (12011001211021), we get a palindrome (132123101321231).

The spelling of 120112100110210 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 65 130 197 337 394 433 674 866 985 1685 1970 2165 2561 3370 4330 4381 5122 5629 8762 11258 12805 21905 25610 28145 32141 43810 56290 64282 66389 85301 132778 145921 160705 170602 291842 321410 331945 417833 426505 663890 729605 835666 853010 863057 1108913 1459210 1726114 1896973 2089165 2217826 3793946 4178330 4315285 5544565 6331777 8630570 9484865 10831517 11089130 12663554 13917053 18969730 21663034 27834106 28746437 31658885 54157585 57492874 63317770 69585265 82313101 108315170 139170530 140809721 143732185 164626202 180921689 281619442 287464370 361843378 373703681 411565505 704048605 747407362 823131010 904608445 1408097210 1809216890 1868518405 2133808849 2741659441 3737036810 4267617698 4690046861 5483318882 9380093722 10669044245 13708297205 21338088490 23450234305 27416594410 27739515037 35641572733 46900468610 55479030074 60970609193 71283145466 121941218386 138697575185 178207863665 277395150370 304853045965 356415727330 609706091930 923939231617 1847878463234 4619696158085 9239392316170 12011210011021 24022420022042 60056050055105 120112100110210