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13000218 = 23711191481
BaseRepresentation
bin110001100101…
…111000011010
3220110110221120
4301211320122
511312001333
61142350110
7215333340
oct61457032
926413846
1013000218
11737a290
12442b336
13290234a
141a25990
15121bdb3
hexc65e1a

13000218 has 64 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 3196800.

The previous prime is 13000217. The next prime is 13000219. The reversal of 13000218 is 81200031.

It is a happy number.

13000218 is digitally balanced in base 2 and base 8, because in such bases 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 (13000217) and next prime (13000219).

13000218 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13000197 and 13000206.

It is not an unprimeable number, because it can be changed into a prime (13000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8038 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 213000218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

13000218 is an abundant number, since it is smaller than the sum of its proper divisors (21145062).

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

13000218 is a wasteful number, since it uses less digits than its factorization.

13000218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13000218 is about 3605.5815064979. The cubic root of 13000218 is about 235.1347831005.

Adding to 13000218 its reverse (81200031), we get a palindrome (94200249).

The spelling of 13000218 in words is "thirteen million, two hundred eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 1481 2926 2962 4389 4443 8778 8886 10367 16291 20734 28139 31101 32582 48873 56278 62202 84417 97746 114037 168834 196973 228074 309529 342111 393946 590919 619058 684222 928587 1181838 1857174 2166703 4333406 6500109 13000218