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13020217 = 729312069
BaseRepresentation
bin110001101010…
…110000111001
3220111111101021
4301222300321
511313121332
61143022441
7215445550
oct61526071
926444337
1013020217
117393311
12443aa21
13290b492
141a2cd97
151222c97
hexc6ac39

13020217 has 16 divisors (see below), whose sum is σ = 15897600. Its totient is φ = 10422720.

The previous prime is 13020211. The next prime is 13020223. The reversal of 13020217 is 71202031.

It is a happy number.

13020217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13020211) and next prime (13020223).

It is not a de Polignac number, because 13020217 - 23 = 13020209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13020217.

It is not an unprimeable number, because it can be changed into a prime (13020211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5259 + ... + 7327.

It is an arithmetic number, because the mean of its divisors is an integer number (993600).

Almost surely, 213020217 is an apocalyptic number.

It is an amenable number.

13020217 is a deficient number, since it is larger than the sum of its proper divisors (2877383).

13020217 is a wasteful number, since it uses less digits than its factorization.

13020217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 13020217 is about 3608.3537797727. The cubic root of 13020217 is about 235.2552952137.

Adding to 13020217 its reverse (71202031), we get a palindrome (84222248).

The spelling of 13020217 in words is "thirteen million, twenty thousand, two hundred seventeen".

Divisors: 1 7 29 31 203 217 899 2069 6293 14483 60001 64139 420007 448973 1860031 13020217