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2112320322 = 233722361569
BaseRepresentation
bin111110111100111…
…0111001101000010
312110012200222202000
41331321313031002
513311223222242
6545334204430
7103226266200
oct17571671502
95405628660
102112320322
11994393582
124ab4b3716
132788128a8
14160776070
15c569ca4c
hex7de77342

2112320322 has 192 divisors, whose sum is σ = 5801414400. Its totient is φ = 566818560.

The previous prime is 2112320321. The next prime is 2112320387. The reversal of 2112320322 is 2230232112.

2112320322 is a `hidden beast` number, since 21 + 1 + 2 + 320 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112320295 and 2112320304.

It is not an unprimeable number, because it can be changed into a prime (2112320321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3712054 + ... + 3712622.

It is an arithmetic number, because the mean of its divisors is an integer number (30215700).

Almost surely, 22112320322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112320322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900707200).

2112320322 is an abundant number, since it is smaller than the sum of its proper divisors (3689094078).

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

2112320322 is a wasteful number, since it uses less digits than its factorization.

2112320322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2112320322 is about 45959.9860966036. The cubic root of 2112320322 is about 1283.0785925964.

Adding to 2112320322 its reverse (2230232112), we get a palindrome (4342552434).

The spelling of 2112320322 in words is "two billion, one hundred twelve million, three hundred twenty thousand, three hundred twenty-two".