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2012231142 = 232319973617
BaseRepresentation
bin111011111110000…
…0011010111100110
312012020100221012100
41313330003113212
513110112344032
6531401032530
7100602453045
oct16774032746
95166327170
102012231142
11942941049
12481a85746
13260b6a61c
1415136055c
15bb9cb97c
hex77f035e6

2012231142 has 48 divisors (see below), whose sum is σ = 4506233472. Its totient is φ = 648276480.

The previous prime is 2012231141. The next prime is 2012231183. The reversal of 2012231142 is 2411322102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012231141) 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 23 ways as a sum of consecutive naturals, for example, 554518 + ... + 558134.

It is an arithmetic number, because the mean of its divisors is an integer number (93879864).

Almost surely, 22012231142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012231142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253116736).

2012231142 is an abundant number, since it is smaller than the sum of its proper divisors (2494002330).

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

2012231142 is a wasteful number, since it uses less digits than its factorization.

2012231142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2012231142 is about 44857.8994381146. The cubic root of 2012231142 is about 1262.4842107884.

Adding to 2012231142 its reverse (2411322102), we get a palindrome (4423553244).

The spelling of 2012231142 in words is "two billion, twelve million, two hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 997 1994 2991 3617 5982 7234 8973 10851 17946 21702 30907 32553 61814 65106 92721 112127 185442 224254 278163 336381 556326 672762 1009143 2018286 3606149 7212298 10818447 21636894 32455341 64910682 111790619 223581238 335371857 670743714 1006115571 2012231142