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13006126120 = 2351325011781
BaseRepresentation
bin11000001110011100…
…11011110000101000
31020120102022122220211
430013032123300220
5203114032013440
65550330230504
7640206151021
oct140716336050
936512278824
1013006126120
11557468a069
12262b885434
1312c3738220
148b54c1c48
15511c61eea
hex30739bc28

13006126120 has 32 divisors (see below), whose sum is σ = 31514845320. Its totient is φ = 4802261760.

The previous prime is 13006126117. The next prime is 13006126121. The reversal of 13006126120 is 2162160031.

It can be written as a sum of positive squares in 4 ways, for example, as 8327292516 + 4678833604 = 91254^2 + 68402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13006126091 and 13006126100.

It is not an unprimeable number, because it can be changed into a prime (13006126121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12505371 + ... + 12506410.

Almost surely, 213006126120 is an apocalyptic number.

13006126120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006126120 is an abundant number, since it is smaller than the sum of its proper divisors (18508719200).

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

13006126120 is a wasteful number, since it uses less digits than its factorization.

13006126120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25011805 (or 25011801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13006126120 its reverse (2162160031), we get a palindrome (15168286151).

The spelling of 13006126120 in words is "thirteen billion, six million, one hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 25011781 50023562 100047124 125058905 200094248 250117810 325153153 500235620 650306306 1000471240 1300612612 1625765765 2601225224 3251531530 6503063060 13006126120