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1001332112 = 24112517217
BaseRepresentation
bin111011101011110…
…001110110010000
32120210011221102112
4323223301312100
54022320111422
6243210004452
733546116414
oct7353616620
92523157375
101001332112
11474253700
1223b416728
1312c5b5611
1496db6d44
155cd95ee2
hex3baf1d90

1001332112 has 30 divisors (see below), whose sum is σ = 2132489814. Its totient is φ = 455150080.

The previous prime is 1001332109. The next prime is 1001332151. The reversal of 1001332112 is 2112331001.

It can be written as a sum of positive squares in only one way, i.e., 1000836496 + 495616 = 31636^2 + 704^2 .

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 5 ways as a sum of consecutive naturals, for example, 256673 + ... + 260544.

Almost surely, 21001332112 is an apocalyptic number.

It is an amenable number.

1001332112 is an abundant number, since it is smaller than the sum of its proper divisors (1131157702).

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

1001332112 is a wasteful number, since it uses less digits than its factorization.

1001332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517247 (or 517230 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1001332112 is about 31643.8321320285. The cubic root of 1001332112 is about 1000.4438403100.

Adding to 1001332112 its reverse (2112331001), we get a palindrome (3113663113).

The spelling of 1001332112 in words is "one billion, one million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 517217 1034434 2068868 4137736 5689387 8275472 11378774 22757548 45515096 62583257 91030192 125166514 250333028 500666056 1001332112