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2112332112 = 2432111333543
BaseRepresentation
bin111110111100111…
…1010000101010000
312110012201120220200
41331321322011100
513311224111422
6545334335200
7103226345442
oct17571720520
95405646820
102112332112
119943a1420
124ab4ba500
13278818077
1416077a492
15c56a12ac
hex7de7a150

2112332112 has 60 divisors (see below), whose sum is σ = 6449018784. Its totient is φ = 640100160.

The previous prime is 2112332107. The next prime is 2112332143.

2112332112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 665188 + ... + 668355.

Almost surely, 22112332112 is an apocalyptic number.

2112332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2112332112 is an abundant number, since it is smaller than the sum of its proper divisors (4336686672).

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

2112332112 is a wasteful number, since it uses less digits than its factorization.

2112332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333568 (or 1333559 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2112332112 is about 45960.1143601710. The cubic root of 2112332112 is about 1283.0809797767.

It can be divided in two parts, 21123 and 32112, that added together give a palindrome (53235).

The spelling of 2112332112 in words is "two billion, one hundred twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1333543 2667086 4000629 5334172 8001258 10668344 12001887 14668973 16002516 21336688 24003774 29337946 32005032 44006919 48007548 58675892 64010064 88013838 96015096 117351784 132020757 176027676 192030192 234703568 264041514 352055352 528083028 704110704 1056166056 2112332112