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111012123012 = 223723401143291
BaseRepresentation
bin110011101100011010…
…1101001000110000100
3101121112121220011010120
41213120311221012010
53304323100414022
6122555343021540
711006661322260
oct1473065510604
9347477804116
10111012123012
11430974a410a
121962189a8b0
13a6120c006b
1455317a90a0
152d4adc0d5c
hex19d8d69184

111012123012 has 96 divisors (see below), whose sum is σ = 309675792384. Its totient is φ = 30262848000.

The previous prime is 111012122993. The next prime is 111012123043. The reversal of 111012123012 is 210321210111.

It is a junction number, because it is equal to n+sod(n) for n = 111012122982 and 111012123000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703087 + ... + 846377.

It is an arithmetic number, because the mean of its divisors is an integer number (3225789504).

Almost surely, 2111012123012 is an apocalyptic number.

111012123012 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 111012123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154837896192).

111012123012 is an abundant number, since it is smaller than the sum of its proper divisors (198663669372).

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

111012123012 is a wasteful number, since it uses less digits than its factorization.

111012123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143729 (or 143727 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 111012123012 its reverse (210321210111), we get a palindrome (321333333123).

The spelling of 111012123012 in words is "one hundred eleven billion, twelve million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 401 483 644 802 966 1203 1604 1932 2406 2807 4812 5614 8421 9223 11228 16842 18446 27669 33684 36892 55338 64561 110676 129122 143291 193683 258244 286582 387366 429873 573164 774732 859746 1003037 1719492 2006074 3009111 3295693 4012148 6018222 6591386 9887079 12036444 13182772 19774158 23069851 39548316 46139702 57459691 69209553 92279404 114919382 138419106 172379073 229838764 276838212 344758146 402217837 689516292 804435674 1206653511 1321572893 1608871348 2413307022 2643145786 3964718679 4826614044 5286291572 7929437358 9251010251 15858874716 18502020502 27753030753 37004041004 55506061506 111012123012