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13006402600 = 235265032013
BaseRepresentation
bin11000001110011110…
…11111010000101000
31020120102211201011211
430013033133100220
5203114114340400
65550340202504
7640211412052
oct140717372050
936512751154
1013006402600
115574858864
12262b999434
1312c3804019
148b55548d2
15511cb8dba
hex3073df428

13006402600 has 24 divisors (see below), whose sum is σ = 30239886510. Its totient is φ = 5202560960.

The previous prime is 13006402583. The next prime is 13006402609. The reversal of 13006402600 is 620460031.

13006402600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4996510596 + 8009892004 = 70686^2 + 89498^2 .

It is not an unprimeable number, because it can be changed into a prime (13006402609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 32515807 + ... + 32516206.

Almost surely, 213006402600 is an apocalyptic number.

13006402600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006402600 is an abundant number, since it is smaller than the sum of its proper divisors (17233483910).

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

13006402600 is a wasteful number, since it uses less digits than its factorization.

13006402600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65032029 (or 65032020 counting only the distinct ones).

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

Adding to 13006402600 its reverse (620460031), we get a palindrome (13626862631).

The spelling of 13006402600 in words is "thirteen billion, six million, four hundred two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 65032013 130064026 260128052 325160065 520256104 650320130 1300640260 1625800325 2601280520 3251600650 6503201300 13006402600