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2003121112110 = 235475971339139
BaseRepresentation
bin11101001001100011010…
…100101000010000101110
321002111101221202202212220
4131021203110220100232
5230304343001041420
64132115433140210
7264502131343206
oct35114324502056
97074357682786
102003121112110
11702578712588
1228427525a666
13116b80071a81
146cd471c1406
153718bee6840
hex1d26352842e

2003121112110 has 128 divisors (see below), whose sum is σ = 5063333068800. Its totient is φ = 506699303040.

The previous prime is 2003121112103. The next prime is 2003121112127. The reversal of 2003121112110 is 112111213002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2003121112110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5736921 + ... + 6076059.

It is an arithmetic number, because the mean of its divisors is an integer number (39557289600).

Almost surely, 22003121112110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003121112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531666534400).

2003121112110 is an abundant number, since it is smaller than the sum of its proper divisors (3060211956690).

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

2003121112110 is a wasteful number, since it uses less digits than its factorization.

2003121112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339326.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2003121112110 its reverse (112111213002), we get a palindrome (2115232325112).

The spelling of 2003121112110 in words is "two trillion, three billion, one hundred twenty-one million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 59 71 94 118 141 142 177 213 235 282 295 354 355 426 470 590 705 710 885 1065 1410 1770 2130 2773 3337 4189 5546 6674 8319 8378 10011 12567 13865 16638 16685 20022 20945 25134 27730 33370 41595 41890 50055 62835 83190 100110 125670 196883 339139 393766 590649 678278 984415 1017417 1181298 1695695 1968830 2034834 2953245 3391390 5087085 5906490 10174170 15939533 20009201 24078869 31879066 40018402 47818599 48157738 60027603 72236607 79697665 95637198 100046005 120055206 120394345 144473214 159395330 200092010 239092995 240788690 300138015 361183035 478185990 600276030 722366070 940432447 1131706843 1420653271 1880864894 2263413686 2821297341 2841306542 3395120529 4261959813 4702162235 5642594682 5658534215 6790241058 7103266355 8523919626 9404324470 11317068430 14106486705 14206532710 16975602645 21309799065 28212973410 33951205290 42619598130 66770703737 133541407474 200312111211 333853518685 400624222422 667707037370 1001560556055 2003121112110