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110310012 = 22343071109
BaseRepresentation
bin1101001001100…
…11001001111100
321200120022220000
412210303021330
5211214410022
614540154300
72506422351
oct644631174
9250508800
10110310012
11572a35aa
1230b38990
1319b134c7
1410916628
159a3e6ac
hex693327c

110310012 has 60 divisors (see below), whose sum is σ = 289572360. Its totient is φ = 36617184.

The previous prime is 110309993. The next prime is 110310017. The reversal of 110310012 is 210013011.

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 = 110309976 and 110310003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110310017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98914 + ... + 100022.

It is an arithmetic number, because the mean of its divisors is an integer number (4826206).

Almost surely, 2110310012 is an apocalyptic number.

110310012 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 110310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144786180).

110310012 is an abundant number, since it is smaller than the sum of its proper divisors (179262348).

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

110310012 is a wasteful number, since it uses less digits than its factorization.

110310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110310012 is about 10502.8573255091. The cubic root of 110310012 is about 479.5916840111.

Adding to 110310012 its reverse (210013011), we get a palindrome (320323023).

The spelling of 110310012 in words is "one hundred ten million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 307 324 614 921 1109 1228 1842 2218 2763 3327 3684 4436 5526 6654 8289 9981 11052 13308 16578 19962 24867 29943 33156 39924 49734 59886 89829 99468 119772 179658 340463 359316 680926 1021389 1361852 2042778 3064167 4085556 6128334 9192501 12256668 18385002 27577503 36770004 55155006 110310012