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1000332112 = 24134809289
BaseRepresentation
bin111011100111111…
…101101101010000
32120201022010200111
4323213331231100
54022041111422
6243132331104
733534453103
oct7347755520
92521263614
101000332112
1147373035a
1223b013a94
1312c3253c0
1496bd673a
155cc49a77
hex3b9fdb50

1000332112 has 20 divisors (see below), whose sum is σ = 2087231860. Its totient is φ = 461691648.

The previous prime is 1000332103. The next prime is 1000332127. The reversal of 1000332112 is 2112330001.

It can be written as a sum of positive squares in 2 ways, for example, as 331385616 + 668946496 = 18204^2 + 25864^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1000332092 and 1000332101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2404437 + ... + 2404852.

It is an arithmetic number, because the mean of its divisors is an integer number (104361593).

Almost surely, 21000332112 is an apocalyptic number.

It is an amenable number.

1000332112 is an abundant number, since it is smaller than the sum of its proper divisors (1086899748).

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

1000332112 is a wasteful number, since it uses less digits than its factorization.

1000332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809310 (or 4809304 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1000332112 is about 31628.0273175549. The cubic root of 1000332112 is about 1000.1106917469.

Adding to 1000332112 its reverse (2112330001), we get a palindrome (3112662113).

The spelling of 1000332112 in words is "one billion, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 4809289 9618578 19237156 38474312 62520757 76948624 125041514 250083028 500166056 1000332112