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20000213 is a prime number
BaseRepresentation
bin100110001001…
…0110111010101
31101122010010122
41030102313111
520110001323
61552401325
7331666442
oct114226725
941563118
1020000213
1110320502
126846245
1341b355c
1429289c9
151b50ec8
hex1312dd5

20000213 has 2 divisors, whose sum is σ = 20000214. Its totient is φ = 20000212.

The previous prime is 20000171. The next prime is 20000221. The reversal of 20000213 is 31200002.

It is an a-pointer prime, because the next prime (20000221) can be obtained adding 20000213 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17497489 + 2502724 = 4183^2 + 1582^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000213 - 220 = 18951637 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20000213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20000243) 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 as a sum of consecutive naturals, namely, 10000106 + 10000107.

It is an arithmetic number, because the mean of its divisors is an integer number (10000107).

Almost surely, 220000213 is an apocalyptic number.

It is an amenable number.

20000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000213 is an equidigital number, since it uses as much as digits as its factorization.

20000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 20000213 is about 4472.1597690601. The cubic root of 20000213 is about 271.4427252743.

Adding to 20000213 its reverse (31200002), we get a palindrome (51200215).

The spelling of 20000213 in words is "twenty million, two hundred thirteen", and thus it is an aban number.