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12000213 = 321333357
BaseRepresentation
bin101101110001…
…101111010101
3211120200012100
4231301233111
511033001323
61105112313
7204000021
oct55615725
924520170
1012000213
116856a35
124028699
132642124
141845381
1510c0943
hexb71bd5

12000213 has 6 divisors (see below), whose sum is σ = 17333654. Its totient is φ = 8000136.

The previous prime is 12000133. The next prime is 12000239. The reversal of 12000213 is 31200021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6036849 + 5963364 = 2457^2 + 2442^2 .

It is not a de Polignac number, because 12000213 - 222 = 7805909 is a prime.

It is a super-2 number, since 2×120002132 = 288010224090738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1333357 = 12000213 / (1 + 2 + 0 + 0 + 0 + 2 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000195 and 12000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666670 + ... + 666687.

Almost surely, 212000213 is an apocalyptic number.

It is an amenable number.

12000213 is a deficient number, since it is larger than the sum of its proper divisors (5333441).

12000213 is a wasteful number, since it uses less digits than its factorization.

12000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333363 (or 1333360 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12000213 is about 3464.1323589032. The cubic root of 12000213 is about 228.9442030812.

Adding to 12000213 its reverse (31200021), we get a palindrome (43200234).

It can be divided in two parts, 1200021 and 3, that multiplied together give a palindrome (3600063).

The spelling of 12000213 in words is "twelve million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 1333357 4000071 12000213