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2012031333 = 34133974813
BaseRepresentation
bin111011111101101…
…0010100101100101
312012012222210010000
41313323102211211
513110040000313
6531352451513
7100600661364
oct16773224545
95165883100
102012031333
11942814a14
124819a9b99
13260aca6b0
1415130b7db
15bb98c673
hex77ed2965

2012031333 has 40 divisors (see below), whose sum is σ = 3245656568. Its totient is φ = 1234797696.

The previous prime is 2012031289. The next prime is 2012031341. The reversal of 2012031333 is 3331302102.

It can be written as a sum of positive squares in 4 ways, for example, as 326271969 + 1685759364 = 18063^2 + 41058^2 .

It is not a de Polignac number, because 2012031333 - 26 = 2012031269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012031383) 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 39 ways as a sum of consecutive naturals, for example, 415635 + ... + 420447.

Almost surely, 22012031333 is an apocalyptic number.

It is an amenable number.

2012031333 is a deficient number, since it is larger than the sum of its proper divisors (1233625235).

2012031333 is a wasteful number, since it uses less digits than its factorization.

2012031333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5226 counting only the distinct ones).

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

The square root of 2012031333 is about 44855.6722500065. The cubic root of 2012031333 is about 1262.4424223390.

Adding to 2012031333 its reverse (3331302102), we get a palindrome (5343333435).

The spelling of 2012031333 in words is "two billion, twelve million, thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 397 1053 1191 3573 4813 5161 10719 14439 15483 32157 43317 46449 62569 129951 139347 187707 389853 418041 563121 1689363 1910761 5068089 5732283 17196849 24839893 51590547 74519679 154771641 223559037 670677111 2012031333