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210205213 is a prime number
BaseRepresentation
bin11001000011101…
…11101000011101
3112122112112100021
430201313220131
5412303031323
632505232141
75131500121
oct1441675035
9478475307
10210205213
11a8723319
125a492651
133471b3aa
141dcbb581
15136c305d
hexc877a1d

210205213 has 2 divisors, whose sum is σ = 210205214. Its totient is φ = 210205212.

The previous prime is 210205157. The next prime is 210205231. The reversal of 210205213 is 312502012.

Together with next prime (210205231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181764324 + 28440889 = 13482^2 + 5333^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210205213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210205013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105102606 + 105102607.

It is an arithmetic number, because the mean of its divisors is an integer number (105102607).

Almost surely, 2210205213 is an apocalyptic number.

It is an amenable number.

210205213 is a deficient number, since it is larger than the sum of its proper divisors (1).

210205213 is an equidigital number, since it uses as much as digits as its factorization.

210205213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 210205213 is about 14498.4555384358. The cubic root of 210205213 is about 594.5857465381.

Adding to 210205213 its reverse (312502012), we get a palindrome (522707225).

The spelling of 210205213 in words is "two hundred ten million, two hundred five thousand, two hundred thirteen".