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2012243420 = 2251117231649
BaseRepresentation
bin111011111110000…
…0110010111011100
312012020101120001002
41313330012113130
513110113242140
6531401205432
7100602533615
oct16774062734
95166346032
102012243420
1194294a2a0
12481a90878
13260b730a5
14151364c0c
15bb9d0415
hex77f065dc

2012243420 has 72 divisors (see below), whose sum is σ = 4897141200. Its totient is φ = 688660480.

The previous prime is 2012243419. The next prime is 2012243459. The reversal of 2012243420 is 243422102.

2012243420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2012243392 and 2012243401.

It is a congruent number.

It is an unprimeable number.

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, 47756 + ... + 79404.

It is an arithmetic number, because the mean of its divisors is an integer number (68015850).

Almost surely, 22012243420 is an apocalyptic number.

2012243420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448570600).

2012243420 is an abundant number, since it is smaller than the sum of its proper divisors (2884897780).

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

2012243420 is a wasteful number, since it uses less digits than its factorization.

2012243420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31703 (or 31684 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2012243420 is about 44858.0362922855. The cubic root of 2012243420 is about 1262.4867785434.

Adding to 2012243420 its reverse (243422102), we get a palindrome (2255665522).

The spelling of 2012243420 in words is "two billion, twelve million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 5780 6358 12716 15895 31649 31790 63298 63580 126596 158245 316490 348139 538033 632980 696278 1076066 1392556 1740695 2152132 2690165 3481390 5380330 5918363 6962780 9146561 10760660 11836726 18293122 23673452 29591815 36586244 45732805 59183630 91465610 100612171 118367260 182931220 201224342 402448684 503060855 1006121710 2012243420