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3003110112 = 253173475303
BaseRepresentation
bin1011001011111111…
…1101001011100000
321202021212210121110
42302333331023200
522122244010422
61213555023320
7134264005032
oct26277751340
97667783543
103003110112
1113011a5092
126b989ab40
1338b233042
14206bb5c52
151289aa60c
hexb2ffd2e0

3003110112 has 96 divisors (see below), whose sum is σ = 8372512512. Its totient is φ = 939259904.

The previous prime is 3003110111. The next prime is 3003110119. The reversal of 3003110112 is 2110113003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003110111) 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 15 ways as a sum of consecutive naturals, for example, 563653 + ... + 568955.

It is an arithmetic number, because the mean of its divisors is an integer number (87213672).

Almost surely, 23003110112 is an apocalyptic number.

3003110112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186256256).

3003110112 is an abundant number, since it is smaller than the sum of its proper divisors (5369402400).

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

3003110112 is a wasteful number, since it uses less digits than its factorization.

3003110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3003110112 is about 54800.6397042954. The cubic root of 3003110112 is about 1442.7477934766.

Adding to 3003110112 its reverse (2110113003), we get a palindrome (5113223115).

The spelling of 3003110112 in words is "three billion, three million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 347 408 544 694 816 1041 1388 1632 2082 2776 4164 5303 5552 5899 8328 10606 11104 11798 15909 16656 17697 21212 23596 31818 33312 35394 42424 47192 63636 70788 84848 90151 94384 127272 141576 169696 180302 188768 254544 270453 283152 360604 509088 540906 566304 721208 1081812 1442416 1840141 2163624 2884832 3680282 4327248 5520423 7360564 8654496 11040846 14721128 22081692 29442256 31282397 44163384 58884512 62564794 88326768 93847191 125129588 176653536 187694382 250259176 375388764 500518352 750777528 1001036704 1501555056 3003110112