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13005212 = 22112371181
BaseRepresentation
bin110001100111…
…000110011100
3220110201210112
4301213012130
511312131322
61142425152
7215354033
oct61470634
926421715
1013005212
117383010
1244321b8
1329046bc
141a2771a
15121d5e2
hexc6719c

13005212 has 48 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 5544000.

The previous prime is 13005211. The next prime is 13005227. The reversal of 13005212 is 21250031.

It is a happy number.

13005212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005211) 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, 71762 + ... + 71942.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 213005212 is an apocalyptic number.

It is an amenable number.

13005212 is an abundant number, since it is smaller than the sum of its proper divisors (13412452).

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

13005212 is a wasteful number, since it uses less digits than its factorization.

13005212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13005212 is about 3606.2739773900. The cubic root of 13005212 is about 235.1648880515.

Adding to 13005212 its reverse (21250031), we get a palindrome (34255243).

The spelling of 13005212 in words is "thirteen million, five thousand, two hundred twelve".

Divisors: 1 2 4 11 22 23 44 46 71 92 142 181 253 284 362 506 724 781 1012 1562 1633 1991 3124 3266 3982 4163 6532 7964 8326 12851 16652 17963 25702 35926 45793 51404 71852 91586 141361 183172 282722 295573 565444 591146 1182292 3251303 6502606 13005212