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2003112320220 = 22325114793211073
BaseRepresentation
bin11101001001100010110…
…011000101110011011100
321002111101100020002200100
4131021202303011303130
5230304333223221340
64132114520501100
7264501663534654
oct35114263056334
97074340202610
102003112320220
11702573758060
1228427231a790
13116b7b2b407b
146cd45d73364
153718b35b830
hex1d262cc5cdc

2003112320220 has 144 divisors (see below), whose sum is σ = 6629895129312. Its totient is φ = 485499371520.

The previous prime is 2003112320137. The next prime is 2003112320227. The reversal of 2003112320220 is 220232113002.

2003112320220 is a `hidden beast` number, since 200 + 3 + 11 + 232 + 0 + 220 = 666.

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 = 2003112320193 and 2003112320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003112320227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9384604 + ... + 9595676.

It is an arithmetic number, because the mean of its divisors is an integer number (46040938398).

Almost surely, 22003112320220 is an apocalyptic number.

2003112320220 is a gapful number since it is divisible by the number (20) 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 2003112320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314947564656).

2003112320220 is an abundant number, since it is smaller than the sum of its proper divisors (4626782809092).

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

2003112320220 is a wasteful number, since it uses less digits than its factorization.

2003112320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215892 (or 215887 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2003112320220 its reverse (220232113002), we get a palindrome (2223344433222).

The spelling of 2003112320220 in words is "two trillion, three billion, one hundred twelve million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4793 9586 14379 19172 23965 28758 43137 47930 52723 57516 71895 86274 95860 105446 143790 158169 172548 210892 211073 215685 263615 287580 316338 422146 431370 474507 527230 632676 633219 790845 844292 862740 949014 1054460 1055365 1266438 1581690 1898028 1899657 2110730 2321803 2372535 2532876 3163380 3166095 3799314 4221460 4643606 4745070 6332190 6965409 7598628 9287212 9490140 9498285 11609015 12664380 13930818 18996570 20896227 23218030 27861636 34827045 37993140 41792454 46436060 69654090 83584908 104481135 139308180 208962270 417924540 1011672889 2023345778 3035018667 4046691556 5058364445 6070037334 9105056001 10116728890 11128401779 12140074668 15175093335 18210112002 20233457780 22256803558 30350186670 33385205337 36420224004 44513607116 45525280005 55642008895 60700373340 66770410674 91050560010 100155616011 111284017790 133540821348 166926026685 182101120020 200311232022 222568035580 333852053370 400622464044 500778080055 667704106740 1001556160110 2003112320220