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110020000122120 = 233511127656287283
BaseRepresentation
bin11001000001000000000111…
…000001101000010100001000
3112102112210211222022020212210
4121001000013001220110020
5103410031430012401440
61025554253523505120
732113453110662514
oct3101000701502410
9472483758266783
10110020000122120
1132068246942a40
121040a7435281a0
134950ac29bc84a
141d24dd4259144
15cabd154a4a80
hex641007068508

110020000122120 has 128 divisors (see below), whose sum is σ = 362900616560640. Its totient is φ = 26461503210240.

The previous prime is 110020000122101. The next prime is 110020000122127. The reversal of 110020000122120 is 21221000020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110020000122096 and 110020000122105.

It is not an unprimeable number, because it can be changed into a prime (110020000122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327976002 + ... + 328311281.

It is an arithmetic number, because the mean of its divisors is an integer number (2835161066880).

Almost surely, 2110020000122120 is an apocalyptic number.

110020000122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020000122120 is an abundant number, since it is smaller than the sum of its proper divisors (252880616438520).

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

110020000122120 is a wasteful number, since it uses less digits than its factorization.

110020000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656287435 (or 656287431 counting only the distinct ones).

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

Adding to 110020000122120 its reverse (21221000020011), we get a palindrome (131241000142131).

The spelling of 110020000122120 in words is "one hundred ten trillion, twenty billion, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 127 132 165 220 254 264 330 381 440 508 635 660 762 1016 1270 1320 1397 1524 1905 2540 2794 3048 3810 4191 5080 5588 6985 7620 8382 11176 13970 15240 16764 20955 27940 33528 41910 55880 83820 167640 656287283 1312574566 1968861849 2625149132 3281436415 3937723698 5250298264 6562872830 7219160113 7875447396 9844309245 13125745660 14438320226 15750894792 19688618490 21657480339 26251491320 28876640452 36095800565 39377236980 43314960678 57753280904 72191601130 78754473960 83348484941 86629921356 108287401695 144383202260 166696969882 173259842712 216574803390 250045454823 288766404520 333393939764 416742424705 433149606780 500090909646 666787879528 833484849410 866299213560 916833334351 1000181819292 1250227274115 1666969698820 1833666668702 2000363638584 2500454548230 2750500003053 3333939397640 3667333337404 4584166671755 5000909096460 5501000006106 7334666674808 9168333343510 10001818192920 11002000012212 13752500015265 18336666687020 22004000024424 27505000030530 36673333374040 55010000061060 110020000122120