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111001230313220 = 225138936731306001
BaseRepresentation
bin11001001111010001111100…
…111001110000011100000100
3112120000121120121000121001102
4121033101330321300130010
5104022121004430010340
61032025132232115232
732244400651665602
oct3117217471603404
9476017517017042
10111001230313220
11324063a2796675
1210548947535b18
1349c24a9415b90
141d5a6b9928872
15cc75e3ea1215
hex64f47ce70704

111001230313220 has 96 divisors (see below), whose sum is σ = 253923461336160. Its totient is φ = 40513499136000.

The previous prime is 111001230313219. The next prime is 111001230313271. The reversal of 111001230313220 is 22313032100111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 82533627379204 + 28467602934016 = 9084802^2 + 5335504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111001230313192 and 111001230313201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84340220 + ... + 85646220.

It is an arithmetic number, because the mean of its divisors is an integer number (2645036055585).

Almost surely, 2111001230313220 is an apocalyptic number.

111001230313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111001230313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126961730668080).

111001230313220 is an abundant number, since it is smaller than the sum of its proper divisors (142922231022940).

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

111001230313220 is a wasteful number, since it uses less digits than its factorization.

111001230313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309785 (or 1309783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 111001230313220 its reverse (22313032100111), we get a palindrome (133314262413331).

The spelling of 111001230313220 in words is "one hundred eleven trillion, one billion, two hundred thirty million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 3673 4628 5785 7346 11570 14692 18365 23140 36730 47749 73460 95498 190996 238745 326897 477490 653794 954980 1306001 1307588 1634485 2612002 3268970 4249661 5224004 6530005 6537940 8499322 13060010 16978013 16998644 21248305 26120020 33956026 42496610 67912052 84890065 84993220 116234089 169780130 232468178 339560260 464936356 581170445 1162340890 1511043157 2324681780 3022086314 4796941673 6044172628 7555215785 9593883346 15110431570 19187766692 23984708365 30220863140 47969416730 62360241749 95938833460 124720483498 249440966996 311801208745 426927808897 623602417490 853855617794 1247204834980 1707711235588 2134639044485 4269278088970 5550061515661 8538556177940 11100123031322 22200246062644 27750307578305 55500615156610 111001230313220