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18000213 = 3711292687
BaseRepresentation
bin100010010101…
…0100101010101
31020212111122120
41010222211111
514102001323
61441450153
7305666520
oct104524525
936774576
1018000213
11a184910
126040959
13396311a
142567bb7
1518a85e3
hex112a955

18000213 has 32 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 9024960.

The previous prime is 18000209. The next prime is 18000217. The reversal of 18000213 is 31200081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18000209) and next prime (18000217).

It is not a de Polignac number, because 18000213 - 22 = 18000209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18000192 and 18000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5356 + ... + 8042.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 218000213 is an apocalyptic number.

It is an amenable number.

18000213 is a deficient number, since it is larger than the sum of its proper divisors (12965547).

18000213 is a wasteful number, since it uses less digits than its factorization.

18000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737.

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

The square root of 18000213 is about 4242.6657893358. The cubic root of 18000213 is about 262.0751731537.

Adding to 18000213 its reverse (31200081), we get a palindrome (49200294).

The spelling of 18000213 in words is "eighteen million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 2687 6699 8061 18809 29557 56427 77923 88671 206899 233769 545461 620697 857153 1636383 2571459 6000071 18000213