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2003300112 = 2431119397503
BaseRepresentation
bin111011101100111…
…1110111100010000
312011121120012010110
41313121332330100
513100321100422
6530441401320
7100433525052
oct16731767420
95147505113
102003300112
119388a1030
1247aa99240
1325c0614a8
141500b78d2
15bad1560c
hex7767ef10

2003300112 has 160 divisors (see below), whose sum is σ = 5969617920. Its totient is φ = 572520960.

The previous prime is 2003300051. The next prime is 2003300119. The reversal of 2003300112 is 2110033002.

It is a happy number.

It is a super-2 number, since 2×20033001122 = 8026422677478425088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2003300119) 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 31 ways as a sum of consecutive naturals, for example, 3982453 + ... + 3982955.

It is an arithmetic number, because the mean of its divisors is an integer number (37310112).

Almost surely, 22003300112 is an apocalyptic number.

2003300112 is a gapful number since it is divisible by the number (22) 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 2003300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984808960).

2003300112 is an abundant number, since it is smaller than the sum of its proper divisors (3966317808).

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

2003300112 is a wasteful number, since it uses less digits than its factorization.

2003300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2003300112 is about 44758.2407160961. The cubic root of 2003300112 is about 1260.6136491879.

Adding to 2003300112 its reverse (2110033002), we get a palindrome (4113333114).

The spelling of 2003300112 in words is "two billion, three million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 397 418 456 503 528 627 794 836 912 1006 1191 1254 1509 1588 1672 2012 2382 2508 3018 3176 3344 4024 4367 4764 5016 5533 6036 6352 7543 8048 8734 9528 9557 10032 11066 12072 13101 15086 16599 17468 19056 19114 22132 22629 24144 26202 28671 30172 33198 34936 38228 44264 45258 52404 57342 60344 66396 69872 76456 82973 88528 90516 104808 105127 114684 120688 132792 152912 165946 181032 199691 209616 210254 229368 248919 265584 315381 331892 362064 399382 420508 458736 497838 599073 630762 663784 798764 841016 995676 1198146 1261524 1327568 1597528 1682032 1991352 2196601 2396292 2523048 3195056 3794129 3982704 4393202 4792584 5046096 6589803 7588258 8786404 9585168 11382387 13179606 15176516 17572808 22764774 26359212 30353032 35145616 41735419 45529548 52718424 60706064 83470838 91059096 105436848 125206257 166941676 182118192 250412514 333883352 500825028 667766704 1001650056 2003300112