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2003210020 = 225756925147
BaseRepresentation
bin111011101100110…
…1000111100100100
312011121101121112201
41313121220330210
513100310210040
6530435424244
7100433001310
oct16731507444
95147347481
102003210020
1193883a379
1247aa55084
1325c02c496
14150092b40
15bace8a9a
hex77668f24

2003210020 has 48 divisors (see below), whose sum is σ = 4816344960. Its totient is φ = 685580544.

The previous prime is 2003209963. The next prime is 2003210039. The reversal of 2003210020 is 200123002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2003209979 and 2003210006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67087 + ... + 92233.

It is an arithmetic number, because the mean of its divisors is an integer number (100340520).

Almost surely, 22003210020 is an apocalyptic number.

2003210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003210020 is an abundant number, since it is smaller than the sum of its proper divisors (2813134940).

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

2003210020 is a wasteful number, since it uses less digits than its factorization.

2003210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25732 (or 25730 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2003210020 is about 44757.2342755895. The cubic root of 2003210020 is about 1260.5947515521.

Adding to 2003210020 its reverse (200123002), we get a palindrome (2203333022).

The spelling of 2003210020 in words is "two billion, three million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 569 1138 2276 2845 3983 5690 7966 11380 15932 19915 25147 39830 50294 79660 100588 125735 176029 251470 352058 502940 704116 880145 1760290 3520580 14308643 28617286 57234572 71543215 100160501 143086430 200321002 286172860 400642004 500802505 1001605010 2003210020