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3013321212 = 223211291312003
BaseRepresentation
bin1011001110011011…
…1010000111111100
321210000002120121100
42303212322013330
522132402234322
61215001533100
7134446544016
oct26346720774
97700076540
103013321212
111306a39910
127011a4190
13390399a05
142082b31b6
15129825dac
hexb39ba1fc

3013321212 has 144 divisors (see below), whose sum is σ = 8665937280. Its totient is φ = 874473600.

The previous prime is 3013321187. The next prime is 3013321231. The reversal of 3013321212 is 2121233103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 1503403 + ... + 1505405.

It is an arithmetic number, because the mean of its divisors is an integer number (60180120).

Almost surely, 23013321212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332968640).

3013321212 is an abundant number, since it is smaller than the sum of its proper divisors (5652616068).

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

3013321212 is a wasteful number, since it uses less digits than its factorization.

3013321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2179 counting only the distinct ones).

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

The square root of 3013321212 is about 54893.7265268081. The cubic root of 3013321212 is about 1444.3811419876.

Adding to 3013321212 its reverse (2121233103), we get a palindrome (5134554315).

The spelling of 3013321212 in words is "three billion, thirteen million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 131 132 174 198 261 262 319 348 393 396 522 524 638 786 957 1044 1179 1276 1441 1572 1914 2003 2358 2871 2882 3799 3828 4006 4323 4716 5742 5764 6009 7598 8012 8646 11397 11484 12018 12969 15196 17292 18027 22033 22794 24036 25938 34191 36054 41789 44066 45588 51876 58087 66099 68382 72108 83578 88132 116174 125367 132198 136764 167156 174261 198297 232348 250734 262393 264396 348522 376101 396594 501468 522783 524786 638957 697044 752202 787179 793188 1045566 1049572 1277914 1504404 1574358 1916871 2091132 2361537 2555828 2886323 3148716 3833742 4723074 5750613 5772646 7609397 7667484 8658969 9446148 11501226 11545292 15218794 17317938 22828191 23002452 25976907 30437588 34635876 45656382 51953814 68484573 83703367 91312764 103907628 136969146 167406734 251110101 273938292 334813468 502220202 753330303 1004440404 1506660606 3013321212