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2003321320 = 2357111350033
BaseRepresentation
bin111011101101000…
…0100000111101000
312011121121021012221
41313122010013220
513100322240240
6530442043424
7100433643640
oct16732040750
95147537187
102003321320
11938905a60
1247aaa9574
1325c06b040
141500c1520
15bad1ba4a
hex776841e8

2003321320 has 128 divisors (see below), whose sum is σ = 6052112640. Its totient is φ = 576368640.

The previous prime is 2003321311. The next prime is 2003321323. The reversal of 2003321320 is 231233002.

It is a super-2 number, since 2×20033213202 = 8026592622333084800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003321294 and 2003321303.

It is not an unprimeable number, because it can be changed into a prime (2003321323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15024 + ... + 65056.

It is an arithmetic number, because the mean of its divisors is an integer number (47282130).

Almost surely, 22003321320 is an apocalyptic number.

2003321320 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 2003321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026056320).

2003321320 is an abundant number, since it is smaller than the sum of its proper divisors (4048791320).

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

2003321320 is a wasteful number, since it uses less digits than its factorization.

2003321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50075 (or 50071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2003321320 is about 44758.4776327346. The cubic root of 2003321320 is about 1260.6180976809.

Adding to 2003321320 its reverse (231233002), we get a palindrome (2234554322).

It can be divided in two parts, 2003 and 321320, that added together give a palindrome (323323).

The spelling of 2003321320 in words is "two billion, three million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 50033 100066 200132 250165 350231 400264 500330 550363 650429 700462 1000660 1100726 1300858 1400924 1751155 2001320 2201452 2601716 2751815 2801848 3252145 3502310 3852541 4402904 4553003 5203432 5503630 6504290 7004620 7154719 7705082 9106006 11007260 13008580 14009240 14309438 15410164 18212012 19262705 22014520 22765015 26017160 28618876 30820328 35773595 36424024 38525410 45530030 50083033 57237752 71547190 77050820 91060060 100166066 143094380 154101640 182120120 200332132 250415165 286188760 400664264 500830330 1001660660 2003321320