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2003130330120 = 2332541135713437
BaseRepresentation
bin11101001001100011110…
…111110010110000001000
321002111102121010002121200
4131021203313302300020
5230304402331030440
64132120402504200
7264502302604653
oct35114367626010
97074377102550
102003130330120
11702582939177
12284278365060
13116b81c4b70a
146cd4850089a
153718cc17c30
hex1d263df2c08

2003130330120 has 96 divisors (see below), whose sum is σ = 6668958343320. Its totient is φ = 521139594240.

The previous prime is 2003130330107. The next prime is 2003130330137. The reversal of 2003130330120 is 210330313002.

2003130330120 is a `hidden beast` number, since 2 + 0 + 0 + 313 + 0 + 330 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1003054328676 + 1000076001444 = 1001526^2 + 1000038^2 .

It is a super-2 number, since 2×20031303301202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2003130330093 and 2003130330102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67841959 + ... + 67871478.

Almost surely, 22003130330120 is an apocalyptic number.

2003130330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003130330120 is an abundant number, since it is smaller than the sum of its proper divisors (4665828013200).

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

2003130330120 is a wasteful number, since it uses less digits than its factorization.

2003130330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135713495 (or 135713488 counting only the distinct ones).

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

Adding to 2003130330120 its reverse (210330313002), we get a palindrome (2213460643122).

The spelling of 2003130330120 in words is "two trillion, three billion, one hundred thirty million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 135713437 271426874 407140311 542853748 678567185 814280622 1085707496 1221420933 1357134370 1628561244 2035701555 2442841866 2714268740 3257122488 4071403110 4885683732 5428537480 5564250917 6107104665 8142806220 9771367464 11128501834 12214209330 16285612440 16692752751 22257003668 24428418660 27821254585 33385505502 44514007336 48856837320 50078258253 55642509170 66771011004 83463763755 100156516506 111285018340 133542022008 166927527510 200313033012 222570036680 250391291265 333855055020 400626066024 500782582530 667710110040 1001565165060 2003130330120