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2112423324 = 2231122296353
BaseRepresentation
bin111110111101001…
…0000010110011100
312110012220020000220
41331322100112130
513311240021244
6545340321340
7103230205404
oct17572202634
95405806026
102112423324
11994453a00
124ab543250
1327884a73b
141607a1804
15c56bd319
hex7de9059c

2112423324 has 72 divisors (see below), whose sum is σ = 5442328080. Its totient is φ = 637232640.

The previous prime is 2112423283. The next prime is 2112423331. The reversal of 2112423324 is 4233242112.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112423294 and 2112423303.

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 23 ways as a sum of consecutive naturals, for example, 329332 + ... + 335684.

It is an arithmetic number, because the mean of its divisors is an integer number (75587890).

Almost surely, 22112423324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112423324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721164040).

2112423324 is an abundant number, since it is smaller than the sum of its proper divisors (3329904756).

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

2112423324 is a wasteful number, since it uses less digits than its factorization.

2112423324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6598 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2112423324 is about 45961.1066446403. The cubic root of 2112423324 is about 1283.0994476267.

Adding to 2112423324 its reverse (4233242112), we get a palindrome (6345665436).

The spelling of 2112423324 in words is "two billion, one hundred twelve million, four hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 229 242 363 458 484 687 726 916 1374 1452 2519 2748 5038 6353 7557 10076 12706 15114 19059 25412 27709 30228 38118 55418 69883 76236 83127 110836 139766 166254 209649 279532 332508 419298 768713 838596 1454837 1537426 2306139 2909674 3074852 4364511 4612278 5819348 8729022 9224556 16003207 17458044 32006414 48009621 64012828 96019242 176035277 192038484 352070554 528105831 704141108 1056211662 2112423324