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20212123213 is a prime number
BaseRepresentation
bin10010110100101111…
…001000011001001101
31221011121200020121001
4102310233020121031
5312343300420323
613141343540301
71313606132632
oct226457103115
957147606531
1020212123213
118632242367
123b00bba691
131ba1618029
14d9a542189
157d46bc3ad
hex4b4bc864d

20212123213 has 2 divisors, whose sum is σ = 20212123214. Its totient is φ = 20212123212.

The previous prime is 20212123201. The next prime is 20212123289. The reversal of 20212123213 is 31232121202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18676502244 + 1535620969 = 136662^2 + 39187^2 .

It is a cyclic number.

It is not a de Polignac number, because 20212123213 - 221 = 20210026061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20212127213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106061606 + 10106061607.

It is an arithmetic number, because the mean of its divisors is an integer number (10106061607).

Almost surely, 220212123213 is an apocalyptic number.

It is an amenable number.

20212123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20212123213 is an equidigital number, since it uses as much as digits as its factorization.

20212123213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20212123213 its reverse (31232121202), we get a palindrome (51444244415).

The spelling of 20212123213 in words is "twenty billion, two hundred twelve million, one hundred twenty-three thousand, two hundred thirteen".