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3000113100 = 2233522348311
BaseRepresentation
bin1011001011010010…
…0001011111001100
321202002020112111000
42302310201133030
522121012104400
61213410500300
7134226353265
oct26264413714
97662215430
103000113100
1112aa538416
126b8894690
1338a723b6a
1420663596c
151285b7600
hexb2d217cc

3000113100 has 144 divisors (see below), whose sum is σ = 10064355840. Its totient is φ = 765230400.

The previous prime is 3000113093. The next prime is 3000113101. The reversal of 3000113100 is 13110003.

3000113100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30001131002 = 18001357225583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3000113101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37945 + ... + 86255.

It is an arithmetic number, because the mean of its divisors is an integer number (69891360).

Almost surely, 23000113100 is an apocalyptic number.

3000113100 is a gapful number since it is divisible by the number (30) 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 3000113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032177920).

3000113100 is an abundant number, since it is smaller than the sum of its proper divisors (7064242740).

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

3000113100 is a wasteful number, since it uses less digits than its factorization.

3000113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48357 (or 48344 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3000113100 is about 54773.2881978068. The cubic root of 3000113100 is about 1442.2676943493.

Adding to 3000113100 its reverse (13110003), we get a palindrome (3013223103).

The spelling of 3000113100 in words is "three billion, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 180 207 225 230 270 276 300 345 414 450 460 540 575 621 675 690 828 900 1035 1150 1242 1350 1380 1725 2070 2300 2484 2700 3105 3450 4140 5175 6210 6900 10350 12420 15525 20700 31050 48311 62100 96622 144933 193244 241555 289866 434799 483110 579732 724665 869598 966220 1111153 1207775 1304397 1449330 1739196 2173995 2222306 2415550 2608794 2898660 3333459 3623325 4347990 4444612 4831100 5217588 5555765 6521985 6666918 7246650 8695980 10000377 10869975 11111530 13043970 13333836 14493300 16667295 20000754 21739950 22223060 26087940 27778825 30001131 32609925 33334590 40001508 43479900 50001885 55557650 60002262 65219850 66669180 83336475 100003770 111115300 120004524 130439700 150005655 166672950 200007540 250009425 300011310 333345900 500018850 600022620 750028275 1000037700 1500056550 3000113100