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13003140020 = 2251350012077
BaseRepresentation
bin11000001110000110…
…00010101110110100
31020120012200221202112
430013003002232310
5203112300440040
65550142230152
7640141603133
oct140703025664
936505627675
1013003140020
115572a2a612
12262a885358
1312c2c30cc0
148b4d4591a
15511872365
hex3070c2bb4

13003140020 has 24 divisors (see below), whose sum is σ = 29407101864. Its totient is φ = 4801159296.

The previous prime is 13003140001. The next prime is 13003140043. The reversal of 13003140020 is 2004130031.

It can be written as a sum of positive squares in 4 ways, for example, as 266211856 + 12736928164 = 16316^2 + 112858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13003139977 and 13003140004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25005779 + ... + 25006298.

It is an arithmetic number, because the mean of its divisors is an integer number (1225295911).

Almost surely, 213003140020 is an apocalyptic number.

13003140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003140020 is an abundant number, since it is smaller than the sum of its proper divisors (16403961844).

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

13003140020 is a wasteful number, since it uses less digits than its factorization.

13003140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50012099 (or 50012097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13003140020 its reverse (2004130031), we get a palindrome (15007270051).

The spelling of 13003140020 in words is "thirteen billion, three million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 50012077 100024154 200048308 250060385 500120770 650157001 1000241540 1300314002 2600628004 3250785005 6501570010 13003140020