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2003003003320 = 2351129167939971
BaseRepresentation
bin11101001001011100010…
…010000101000110111000
321002111002201112020002021
4131021130102011012320
5230304122232101240
64132100013444224
7264466165416544
oct35113422050670
97074081466067
102003003003320
11702517a82710
122842417a0674
13116b6175a907
146cd35638a24
153718196654a
hex1d25c4851b8

2003003003320 has 128 divisors (see below), whose sum is σ = 5116455590400. Its totient is φ = 699036889600.

The previous prime is 2003003003297. The next prime is 2003003003321. The reversal of 2003003003320 is 233003003002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2003003003294 and 2003003003303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003003003321) 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, 1660935 + ... + 2600905.

It is an arithmetic number, because the mean of its divisors is an integer number (39972309300).

Almost surely, 22003003003320 is an apocalyptic number.

2003003003320 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 2003003003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558227795200).

2003003003320 is an abundant number, since it is smaller than the sum of its proper divisors (3113452587080).

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

2003003003320 is a wasteful number, since it uses less digits than its factorization.

2003003003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940189 (or 940185 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 2003003003320 its reverse (233003003002), we get a palindrome (2236006006322).

The spelling of 2003003003320 in words is "two trillion, three billion, three million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 167 220 232 290 319 334 440 580 638 668 835 1160 1276 1336 1595 1670 1837 2552 3190 3340 3674 4843 6380 6680 7348 9185 9686 12760 14696 18370 19372 24215 36740 38744 48430 53273 73480 96860 106546 193720 213092 266365 426184 532730 939971 1065460 1879942 2130920 3759884 4699855 7519768 9399710 10339681 18799420 20679362 27259159 37598840 41358724 51698405 54518318 82717448 103396810 109036636 136295795 156975157 206793620 218073272 272591590 299850749 313950314 413587240 545183180 599701498 627900628 784875785 1090366360 1199402996 1255801256 1499253745 1569751570 1726726727 2398805992 2998507490 3139503140 3453453454 4552279553 5997014980 6279006280 6906906908 8633633635 9104559106 11994029960 13813813816 17267267270 18209118212 22761397765 34534534540 36418236424 45522795530 50075075083 69069069080 91045591060 100150150166 182091182120 200300300332 250375375415 400600600664 500750750830 1001501501660 2003003003320