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2012213313 = 3311173531129
BaseRepresentation
bin111011111101111…
…1111000001000001
312012020100000202000
41313323333001001
513110111311223
6531400414213
7100602350055
oct16773770101
95166300660
102012213313
11942929710
12481a77369
13260b62486
14151357c65
15bb9c6543
hex77eff041

2012213313 has 64 divisors (see below), whose sum is σ = 3456172800. Its totient is φ = 1143521280.

The previous prime is 2012213311. The next prime is 2012213323. The reversal of 2012213313 is 3133122102.

It is not a de Polignac number, because 2012213313 - 21 = 2012213311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2012213311) 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 63 ways as a sum of consecutive naturals, for example, 1781733 + ... + 1782861.

It is an arithmetic number, because the mean of its divisors is an integer number (54002700).

Almost surely, 22012213313 is an apocalyptic number.

It is an amenable number.

2012213313 is a deficient number, since it is larger than the sum of its proper divisors (1443959487).

2012213313 is a wasteful number, since it uses less digits than its factorization.

2012213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2012213313 is about 44857.7007101345. The cubic root of 2012213313 is about 1262.4804821085.

Adding to 2012213313 its reverse (3133122102), we get a palindrome (5145335415).

The spelling of 2012213313 in words is "two billion, twelve million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 353 459 561 1059 1129 1683 3177 3387 3883 5049 6001 9531 10161 11649 12419 18003 19193 30483 34947 37257 54009 57579 66011 104841 111771 162027 172737 198033 211123 335313 398537 518211 594099 633369 1195611 1782297 1900107 3586833 4383907 5700321 6775129 10760499 13151721 20325387 39455163 60976161 74526419 118365489 182928483 223579257 670737771 2012213313