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10218012 = 22371031181
BaseRepresentation
bin100110111110…
…101000011100
3201020010110220
4212332220130
510103434022
61003001340
7152565060
oct46765034
921203426
1010218012
115849a42
123509250
132169b7c
1414ddaa0
15d6c85c
hex9bea1c

10218012 has 48 divisors (see below), whose sum is σ = 27535872. Its totient is φ = 2888640.

The previous prime is 10218007. The next prime is 10218017. The reversal of 10218012 is 21081201.

It is an interprime number because it is at equal distance from previous prime (10218007) and next prime (10218017).

It is a junction number, because it is equal to n+sod(n) for n = 10217982 and 10218000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8062 + ... + 9242.

It is an arithmetic number, because the mean of its divisors is an integer number (573664).

Almost surely, 210218012 is an apocalyptic number.

10218012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767936).

10218012 is an abundant number, since it is smaller than the sum of its proper divisors (17317860).

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

10218012 is a wasteful number, since it uses less digits than its factorization.

10218012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10218012 is about 3196.5625287174. The cubic root of 10218012 is about 216.9978692621.

Adding to 10218012 its reverse (21081201), we get a palindrome (31299213).

The spelling of 10218012 in words is "ten million, two hundred eighteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1181 1236 1442 2163 2362 2884 3543 4326 4724 7086 8267 8652 14172 16534 24801 33068 49602 99204 121643 243286 364929 486572 729858 851501 1459716 1703002 2554503 3406004 5109006 10218012