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111111012 = 223219612663
BaseRepresentation
bin1101001111101…
…10101101100100
321202002000122200
412213312231210
5211421023022
615005254500
72516266545
oct647665544
9252060580
10111111012
11577a0391
1231264430
131a033c7c
1410a844cc
159b4bbac
hex69f6b64

111111012 has 72 divisors (see below), whose sum is σ = 300605760. Its totient is φ = 34499520.

The previous prime is 111110969. The next prime is 111111017. The reversal of 111111012 is 210111111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111110985 and 111111003.

It is not an unprimeable number, because it can be changed into a prime (111111017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40393 + ... + 43055.

It is an arithmetic number, because the mean of its divisors is an integer number (4175080).

Almost surely, 2111111012 is an apocalyptic number.

111111012 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 111111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

111111012 is an abundant number, since it is smaller than the sum of its proper divisors (189494748).

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

111111012 is a wasteful number, since it uses less digits than its factorization.

111111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 111111012 is about 10540.9208326408. The cubic root of 111111012 is about 480.7497138261.

Adding to 111111012 its reverse (210111111), we get a palindrome (321222123).

Subtracting 111111012 from its reverse (210111111), we obtain a palindrome (99000099).

The spelling of 111111012 in words is "one hundred eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1159 2196 2318 2663 3477 4636 5326 6954 7989 10431 10652 13908 15978 20862 23967 31956 41724 47934 50597 95868 101194 151791 162443 202388 303582 324886 455373 487329 607164 649772 910746 974658 1461987 1821492 1949316 2923974 3086417 5847948 6172834 9259251 12345668 18518502 27777753 37037004 55555506 111111012