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2120013322 = 27217412757
BaseRepresentation
bin111111001011100…
…1101011000001010
312110202011211112221
41332113031120022
513320210411242
6550211124254
7103351546600
oct17627153012
95422154487
102120013322
11998768429
124b1ba368a
1327a2a736b
141617b9870
15c61bc167
hex7e5cd60a

2120013322 has 72 divisors (see below), whose sum is σ = 4019972652. Its totient is φ = 833172480.

The previous prime is 2120013283. The next prime is 2120013323. The reversal of 2120013322 is 2233100212.

It can be written as a sum of positive squares in 6 ways, for example, as 365995161 + 1754018161 = 19131^2 + 41881^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120013296 and 2120013305.

It is not an unprimeable number, because it can be changed into a prime (2120013323) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2800168 + ... + 2800924.

Almost surely, 22120013322 is an apocalyptic number.

2120013322 is a deficient number, since it is larger than the sum of its proper divisors (1899959330).

2120013322 is a wasteful number, since it uses less digits than its factorization.

2120013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2120013322 is about 46043.6024003335. The cubic root of 2120013322 is about 1284.6343485658.

Adding to 2120013322 its reverse (2233100212), we get a palindrome (4353113534).

The spelling of 2120013322 in words is "two billion, one hundred twenty million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 7 14 17 34 41 49 82 98 119 238 287 574 697 757 833 1394 1514 1666 1681 2009 3362 4018 4879 5299 9758 10598 11767 12869 23534 25738 28577 31037 34153 37093 57154 62074 68306 74186 82369 90083 164738 180166 200039 217259 400078 434518 527629 630581 1055258 1261162 1272517 1400273 1520813 2545034 2800546 3041626 3693403 7386806 8907619 17815238 21632789 25853821 43265578 51707642 62353333 124706666 151429523 302859046 1060006661 2120013322