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2123210213 is a prime number
BaseRepresentation
bin111111010001101…
…1001110111100101
312110222012020212022
41332203121313211
513322020211323
6550403432525
7103420663145
oct17643316745
95428166768
102123210213
1199a551293
124b3085745
1327ab56507
14161dac925
15c65ee4c8
hex7e8d9de5

2123210213 has 2 divisors, whose sum is σ = 2123210214. Its totient is φ = 2123210212.

The previous prime is 2123210209. The next prime is 2123210227. The reversal of 2123210213 is 3120123212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1268641924 + 854568289 = 35618^2 + 29233^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123210213 - 22 = 2123210209 is a prime.

It is a super-3 number, since 3×21232102133 (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2123210191 and 2123210200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123210113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061605106 + 1061605107.

It is an arithmetic number, because the mean of its divisors is an integer number (1061605107).

Almost surely, 22123210213 is an apocalyptic number.

It is an amenable number.

2123210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123210213 is an equidigital number, since it uses as much as digits as its factorization.

2123210213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2123210213 is about 46078.3052314210. The cubic root of 2123210213 is about 1285.2797491332.

Adding to 2123210213 its reverse (3120123212), we get a palindrome (5243333425).

The spelling of 2123210213 in words is "two billion, one hundred twenty-three million, two hundred ten thousand, two hundred thirteen".