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120201100120110 = 235197145332994243
BaseRepresentation
bin11011010101001001111111…
…110111111101000000101110
3120202121010001100010121112010
4123111021333313331000232
5111223333323112320420
61103351342330222050
734214146213044342
oct3325117767750056
9522533040117463
10120201100120110
1135333000421989
1211593941284926
13520bbb863c399
142197a9b2c1622
15dd6a8e4864e0
hex6d527fdfd02e

120201100120110 has 128 divisors (see below), whose sum is σ = 290302922764800. Its totient is φ = 31851800741376.

The previous prime is 120201100120109. The next prime is 120201100120141. The reversal of 120201100120110 is 11021001102021.

It is a super-3 number, since 3×1202011001201103 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28329269649 + ... + 28329273891.

It is an arithmetic number, because the mean of its divisors is an integer number (2267991584100).

Almost surely, 2120201100120110 is an apocalyptic number.

120201100120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120201100120110 is an abundant number, since it is smaller than the sum of its proper divisors (170101822644690).

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

120201100120110 is a wasteful number, since it uses less digits than its factorization.

120201100120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120201100120110 its reverse (11021001102021), we get a palindrome (131222101222131).

The spelling of 120201100120110 in words is "one hundred twenty trillion, two hundred one billion, one hundred million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 197 394 591 985 1182 1453 1970 2906 2955 3299 4243 4359 5910 6598 7265 8486 8718 9897 12729 14530 16495 19794 21215 21795 25458 32990 42430 43590 49485 63645 98970 127290 286241 572482 649903 835871 858723 1299806 1431205 1671742 1717446 1949709 2507613 2862410 3249515 3899418 4179355 4293615 4793447 5015226 6165079 6499030 8358710 8587230 9586894 9748545 12330158 12538065 13997657 14380341 18495237 19497090 23967235 25076130 27995314 28760682 30825395 36990474 41992971 47934470 61650790 69988285 71901705 83985942 92476185 139976570 143803410 184952370 209964855 419929710 944309059 1214520563 1888618118 2429041126 2757538429 2832927177 3643561689 4721545295 5515076858 5665854354 6072602815 7287123378 8272615287 9443090590 12145205630 13787692145 14164635885 16545230574 18217808445 20338595621 27575384290 28329271770 36435616890 40677191242 41363076435 61015786863 82726152870 101692978105 122031573726 203385956210 305078934315 610157868630 4006703337337 8013406674674 12020110012011 20033516686685 24040220024022 40067033373370 60100550060055 120201100120110