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2011132422 = 233133797559
BaseRepresentation
bin111011111011111…
…0111001000000110
312012011022010001000
41313313313020012
513104322214142
6531321314130
7100560225555
oct16767671006
95164263030
102011132422
11942260612
12481635946
132608744b0
14151155d9c
15bb86114c
hex77df7206

2011132422 has 64 divisors (see below), whose sum is σ = 4826304000. Its totient is φ = 617095584.

The previous prime is 2011132391. The next prime is 2011132429. The reversal of 2011132422 is 2242311102.

It is a happy number.

2011132422 is a `hidden beast` number, since 201 + 11 + 32 + 422 = 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 = 2011132395 and 2011132404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011132429) 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 31 ways as a sum of consecutive naturals, for example, 262279 + ... + 269837.

It is an arithmetic number, because the mean of its divisors is an integer number (75411000).

Almost surely, 22011132422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011132422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152000).

2011132422 is an abundant number, since it is smaller than the sum of its proper divisors (2815171578).

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

2011132422 is a wasteful number, since it uses less digits than its factorization.

2011132422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7956 counting only the distinct ones).

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

The square root of 2011132422 is about 44845.6510935007. The cubic root of 2011132422 is about 1262.2543880865.

Adding to 2011132422 its reverse (2242311102), we get a palindrome (4253443524).

The spelling of 2011132422 in words is "two billion, eleven million, one hundred thirty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 379 702 758 1137 2274 3411 4927 6822 7559 9854 10233 14781 15118 20466 22677 29562 44343 45354 68031 88686 98267 133029 136062 196534 204093 266058 294801 408186 589602 884403 1768806 2653209 2864861 5306418 5729722 8594583 17189166 25783749 37243193 51567498 74486386 77351247 111729579 154702494 223459158 335188737 670377474 1005566211 2011132422