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10218 = 2313131
BaseRepresentation
bin10011111101010
3112000110
42133222
5311333
6115150
741535
oct23752
915013
1010218
11774a
125ab6
134860
143a1c
153063
hex27ea

10218 has 16 divisors (see below), whose sum is σ = 22176. Its totient is φ = 3120.

The previous prime is 10211. The next prime is 10223. The reversal of 10218 is 81201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

210218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088).

10218 is an abundant number, since it is smaller than the sum of its proper divisors (11958).

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

10218 is a wasteful number, since it uses less digits than its factorization.

10218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10218 is about 101.0841233825. The cubic root of 10218 is about 21.6997784315.

Adding to 10218 its reverse (81201), we get a palindrome (91419).

It can be divided in two parts, 102 and 18, that added together give a triangular number (120 = T15).

The spelling of 10218 in words is "ten thousand, two hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 3406 5109 10218