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13020205 = 511221521
BaseRepresentation
bin110001101010…
…110000101101
3220111111100211
4301222300231
511313121310
61143022421
7215445532
oct61526055
926444324
1013020205
117393300
12443aa11
13290b483
141a2cd89
151222c8a
hexc6ac2d

13020205 has 12 divisors (see below), whose sum is σ = 17174556. Its totient is φ = 9468800.

The previous prime is 13020197. The next prime is 13020209. The reversal of 13020205 is 50202031.

13020205 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 2 ways, for example, as 5697769 + 7322436 = 2387^2 + 2706^2 .

It is not a de Polignac number, because 13020205 - 23 = 13020197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10156 + ... + 11365.

It is an arithmetic number, because the mean of its divisors is an integer number (1431213).

Almost surely, 213020205 is an apocalyptic number.

It is an amenable number.

13020205 is a deficient number, since it is larger than the sum of its proper divisors (4154351).

13020205 is a wasteful number, since it uses less digits than its factorization.

13020205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21548 (or 21537 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13020205 is about 3608.3521169642. The cubic root of 13020205 is about 235.2552229398.

Adding to 13020205 its reverse (50202031), we get a palindrome (63222236).

It can be divided in two parts, 13020 and 205, that added together give a square (13225 = 1152).

The spelling of 13020205 in words is "thirteen million, twenty thousand, two hundred five".

Divisors: 1 5 11 55 121 605 21521 107605 236731 1183655 2604041 13020205