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2003013324030 = 235432179201731
BaseRepresentation
bin11101001001011100111…
…001011100110011111110
321002111010102221120102210
4131021130321130303332
5230304132402332110
64132101023001250
7264466352223225
oct35113471346376
97074112846383
102003013324030
11702522891824
12284245139226
13116b63932444
146cd36b63cbc
1537182804520
hex1d25ce5ccfe

2003013324030 has 96 divisors (see below), whose sum is σ = 4949147640960. Its totient is φ = 518797917120.

The previous prime is 2003013324029. The next prime is 2003013324079. The reversal of 2003013324030 is 304233103002.

It is a junction number, because it is equal to n+sod(n) for n = 2003013323988 and 2003013324006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9828265 + ... + 10029995.

It is an arithmetic number, because the mean of its divisors is an integer number (51553621260).

Almost surely, 22003013324030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003013324030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474573820480).

2003013324030 is an abundant number, since it is smaller than the sum of its proper divisors (2946134316930).

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

2003013324030 is a wasteful number, since it uses less digits than its factorization.

2003013324030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202006 (or 201963 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2003013324030 its reverse (304233103002), we get a palindrome (2307246427032).

The spelling of 2003013324030 in words is "two trillion, three billion, thirteen million, three hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 179 215 258 358 430 537 645 895 1074 1290 1790 1849 2685 3698 5370 5547 7697 9245 11094 15394 18490 23091 27735 38485 46182 55470 76970 115455 201731 230910 330971 403462 605193 661942 992913 1008655 1210386 1654855 1985826 2017310 3025965 3309710 4964565 6051930 8674433 9929130 17348866 26023299 36109849 43372165 52046598 72219698 86744330 108329547 130116495 180549245 216659094 260232990 361098490 373000619 541647735 746001238 1083295470 1119001857 1552723507 1865003095 2238003714 3105447014 3730006190 4658170521 5595009285 7763617535 9316341042 11190018570 15527235070 23290852605 46581705210 66767110801 133534221602 200301332403 333835554005 400602664806 667671108010 1001506662015 2003013324030