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2003111311200 = 253524717758079
BaseRepresentation
bin11101001001100010101…
…111001111011101100000
321002111101021022211120020
4131021202233033131200
5230304332443424300
64132114443113440
7264501652133136
oct35114257173540
97074337284506
102003111311200
11702573128a5a
12284271b12880
13116b7b01ca0c
146cd45b8d756
153718b20c8a0
hex1d262bcf760

2003111311200 has 144 divisors (see below), whose sum is σ = 6658853806080. Its totient is φ = 522797816320.

The previous prime is 2003111311169. The next prime is 2003111311217. The reversal of 2003111311200 is 21131113002.

It is a happy number.

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 2003111311200.

It is a congruent number.

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, 8766240 + ... + 8991839.

It is an arithmetic number, because the mean of its divisors is an integer number (46242040320).

Almost surely, 22003111311200 is an apocalyptic number.

2003111311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003111311200 is an abundant number, since it is smaller than the sum of its proper divisors (4655742494880).

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

2003111311200 is a wasteful number, since it uses less digits than its factorization.

2003111311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17758149 (or 17758136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2003111311200 its reverse (21131113002), we get a palindrome (2024242424202).

The spelling of 2003111311200 in words is "two trillion, three billion, one hundred eleven million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 75 80 94 96 100 120 141 150 160 188 200 235 240 282 300 376 400 470 480 564 600 705 752 800 940 1128 1175 1200 1410 1504 1880 2256 2350 2400 2820 3525 3760 4512 4700 5640 7050 7520 9400 11280 14100 18800 22560 28200 37600 56400 112800 17758079 35516158 53274237 71032316 88790395 106548474 142064632 177580790 213096948 266371185 284129264 355161580 426193896 443951975 532742370 568258528 710323160 834629713 852387792 887903950 1065484740 1331855925 1420646320 1669259426 1704775584 1775807900 2130969480 2503889139 2663711850 2841292640 3338518852 3551615800 4173148565 4261938960 5007778278 5327423700 6677037704 7103231600 8346297130 8523877920 10015556556 10654847400 12519445695 13354075408 14206463200 16692594260 20031113112 20865742825 21309694800 25038891390 26708150816 33385188520 40062226224 41731485650 42619389600 50077782780 62597228475 66770377040 80124452448 83462971300 100155565560 125194456950 133540754080 166925942600 200311131120 250388913900 333851885200 400622262240 500777827800 667703770400 1001555655600 2003111311200