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1000031112 = 233213889321
BaseRepresentation
bin111011100110110…
…100001110001000
32120200201211210100
4323212310032020
54022001443422
6243122045400
733532060413
oct7346641610
92520654710
101000031112
114735451a3
1223aaa9860
1312c24b3b2
1496b58b7a
155cbda7ac
hex3b9b4388

1000031112 has 24 divisors (see below), whose sum is σ = 2708417790. Its totient is φ = 333343680.

The previous prime is 1000031063. The next prime is 1000031113. The reversal of 1000031112 is 2111300001.

1000031112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 656076996 + 343954116 = 25614^2 + 18546^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 1000031094 and 1000031103.

It is not an unprimeable number, because it can be changed into a prime (1000031113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6944589 + ... + 6944732.

Almost surely, 21000031112 is an apocalyptic number.

1000031112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000031112 is an abundant number, since it is smaller than the sum of its proper divisors (1708386678).

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

1000031112 is a wasteful number, since it uses less digits than its factorization.

1000031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889333 (or 13889326 counting only the distinct ones).

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

The square root of 1000031112 is about 31623.2685217705. The cubic root of 1000031112 is about 1000.0103705591.

Adding to 1000031112 its reverse (2111300001), we get a palindrome (3111331113).

The spelling of 1000031112 in words is "one billion, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13889321 27778642 41667963 55557284 83335926 111114568 125003889 166671852 250007778 333343704 500015556 1000031112