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2133120303 = 3223101257397
BaseRepresentation
bin111111100100100…
…1101010100101111
312111122211201221200
41333021031110233
513332034322203
6551400100543
7103601136426
oct17711152457
95448751850
102133120303
119a50aa946
124b6464753
1327cc16182
1416342c2bd
15c740a9a3
hex7f24d52f

2133120303 has 48 divisors (see below), whose sum is σ = 3267815616. Its totient is φ = 1338163200.

The previous prime is 2133120293. The next prime is 2133120331. The reversal of 2133120303 is 3030213312.

It is not a de Polignac number, because 2133120303 - 212 = 2133116207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133110303) 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 47 ways as a sum of consecutive naturals, for example, 5372901 + ... + 5373297.

It is an arithmetic number, because the mean of its divisors is an integer number (68079492).

Almost surely, 22133120303 is an apocalyptic number.

2133120303 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2133120303 is a deficient number, since it is larger than the sum of its proper divisors (1134695313).

2133120303 is a wasteful number, since it uses less digits than its factorization.

2133120303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2133120303 is about 46185.7153565905. The cubic root of 2133120303 is about 1287.2763283550.

Adding to 2133120303 its reverse (3030213312), we get a palindrome (5163333615).

The spelling of 2133120303 in words is "two billion, one hundred thirty-three million, one hundred twenty thousand, three hundred three".

Divisors: 1 3 9 23 69 101 207 257 303 397 771 909 1191 2313 2323 3573 5911 6969 9131 17733 20907 25957 27393 40097 53199 77871 82179 102029 120291 233613 306087 360873 597011 918261 922231 1791033 2346667 2766693 5373099 7040001 8300079 10304929 21120003 30914787 92744361 237013367 711040101 2133120303