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111122220111012 = 22321116313313129313
BaseRepresentation
bin11001010001000010101000…
…011101001101010010100100
3112120110011212120200010212100
4121101002220131031102210
5104031111301322023022
61032200502043252100
732256213130211055
oct3121025035152244
9476404776603770
10111122220111012
113245273a3364a0
121056829281a030
134a00a1b6a77c6
141d624b64c472c
15cca825cc01ac
hex6510a874d4a4

111122220111012 has 144 divisors (see below), whose sum is σ = 308333409104448. Its totient is φ = 33464042127360.

The previous prime is 111122220111011. The next prime is 111122220111059. The reversal of 111122220111012 is 210111022221111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111122220111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859262868 + ... + 859392180.

It is an arithmetic number, because the mean of its divisors is an integer number (2141204229892).

Almost surely, 2111122220111012 is an apocalyptic number.

111122220111012 is a gapful number since it is divisible by the number (12) 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 111122220111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154166704552224).

111122220111012 is an abundant number, since it is smaller than the sum of its proper divisors (197211188993436).

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

111122220111012 is a wasteful number, since it uses less digits than its factorization.

111122220111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142810 (or 142805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111122220111012 its reverse (210111022221111), we get a palindrome (321233242332123).

The spelling of 111122220111012 in words is "one hundred eleven trillion, one hundred twenty-two billion, two hundred twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 163 198 326 396 489 652 978 1467 1793 1956 2934 3586 5379 5868 7172 10758 13313 16137 21516 26626 32274 39939 53252 64548 79878 119817 129313 146443 159756 239634 258626 292886 387939 439329 479268 517252 585772 775878 878658 1163817 1317987 1422443 1551756 1757316 2170019 2327634 2635974 2844886 4267329 4340038 4655268 5271948 5689772 6510057 8534658 8680076 12801987 13020114 17069316 19530171 21078019 23870209 25603974 26040228 39060342 42156038 47740418 51207948 63234057 71610627 78120684 84312076 95480836 126468114 143221254 189702171 214831881 231858209 252936228 286442508 379404342 429663762 463716418 695574627 758808684 859327524 927432836 1391149254 1721543969 2086723881 2782298508 3443087938 4173447762 5164631907 6886175876 8346895524 10329263814 15493895721 18936983659 20658527628 30987791442 37873967318 56810950977 61975582884 75747934636 113621901954 170432852931 227243803908 280611666947 340865705862 561223333894 681731411724 841835000841 1122446667788 1683670001682 2525505002523 3086728336417 3367340003364 5051010005046 6173456672834 9260185009251 10102020010092 12346913345668 18520370018502 27780555027753 37040740037004 55561110055506 111122220111012