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2003211123232 = 2511113191263677
BaseRepresentation
bin11101001001101000101…
…011111111101000100000
321002111122020010210221011
4131021220223333220200
5230310034021420412
64132132410310304
7264504303413254
oct35115053775040
97074566123834
102003211123232
11702614501240
1228429b428394
13116b958c8aa7
146cd55132264
1537194d767a7
hex1d268affa20

2003211123232 has 96 divisors (see below), whose sum is σ = 4363166352384. Its totient is φ = 897764044800.

The previous prime is 2003211123091. The next prime is 2003211123269. The reversal of 2003211123232 is 2323211123002.

It is a super-2 number, since 2×20032111232322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7465378 + ... + 7729054.

It is an arithmetic number, because the mean of its divisors is an integer number (45449649504).

Almost surely, 22003211123232 is an apocalyptic number.

2003211123232 is a gapful number since it is divisible by the number (22) 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 2003211123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181583176192).

2003211123232 is an abundant number, since it is smaller than the sum of its proper divisors (2359955229152).

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

2003211123232 is a wasteful number, since it uses less digits than its factorization.

2003211123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264002 (or 263994 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2003211123232 its reverse (2323211123002), we get a palindrome (4326422246234).

The spelling of 2003211123232 in words is "two trillion, three billion, two hundred eleven million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 191 226 352 382 452 764 904 1243 1528 1808 2101 2486 3056 3616 4202 4972 6112 8404 9944 16808 19888 21583 33616 39776 43166 67232 86332 172664 237413 263677 345328 474826 527354 690656 949652 1054708 1899304 2109416 2900447 3798608 4218832 5800894 7597216 8437664 11601788 23203576 29795501 46407152 50362307 59591002 92814304 100724614 119182004 201449228 238364008 327750511 402898456 476728016 553985377 655501022 805796912 953456032 1107970754 1311002044 1611593824 2215941508 2622004088 4431883016 5244008176 5690940691 8863766032 10488016352 11381881382 17727532064 22763762764 45527525528 62600347601 91055051056 125200695202 182110102112 250401390404 500802780808 1001605561616 2003211123232