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3013023312 = 243313975531
BaseRepresentation
bin1011001110010111…
…0001011001010000
321202222112102222000
42303211301121100
522132313221222
61214551314000
7134444163345
oct26345613120
97688472860
103013023312
111306856012
1270107b900
133902c4240
142082367cc
151297b79ac
hexb3971650

3013023312 has 160 divisors (see below), whose sum is σ = 9411480960. Its totient is φ = 917360640.

The previous prime is 3013023289. The next prime is 3013023319. The reversal of 3013023312 is 2133203103.

3013023312 is a `hidden beast` number, since 30 + 1 + 302 + 331 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013023319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541987 + ... + 547517.

It is an arithmetic number, because the mean of its divisors is an integer number (58821756).

Almost surely, 23013023312 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 3013023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705740480).

3013023312 is an abundant number, since it is smaller than the sum of its proper divisors (6398457648).

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

3013023312 is a wasteful number, since it uses less digits than its factorization.

3013023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5646 counting only the distinct ones).

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

The square root of 3013023312 is about 54891.0130349222. The cubic root of 3013023312 is about 1444.3335427561. Note that the first 3 decimals are identical.

Adding to 3013023312 its reverse (2133203103), we get a palindrome (5146226415).

The spelling of 3013023312 in words is "three billion, thirteen million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 97 104 108 117 144 156 194 208 216 234 291 312 351 388 432 468 582 624 702 776 873 936 1164 1261 1404 1552 1746 1872 2328 2522 2619 2808 3492 3783 4656 5044 5238 5531 5616 6984 7566 10088 10476 11062 11349 13968 15132 16593 20176 20952 22124 22698 30264 33186 34047 41904 44248 45396 49779 60528 66372 68094 71903 88496 90792 99558 132744 136188 143806 149337 181584 199116 215709 265488 272376 287612 298674 398232 431418 536507 544752 575224 597348 647127 796464 862836 1073014 1150448 1194696 1294254 1609521 1725672 1941381 2146028 2389392 2588508 3219042 3451344 3882762 4292056 4828563 5177016 6438084 6974591 7765524 8584112 9657126 10354032 12876168 13949182 14485689 15531048 19314252 20923773 25752336 27898364 28971378 31062096 38628504 41847546 55796728 57942756 62771319 77257008 83695092 111593456 115885512 125542638 167390184 188313957 231771024 251085276 334780368 376627914 502170552 753255828 1004341104 1506511656 3013023312