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20000300213 is a prime number
BaseRepresentation
bin10010101000000111…
…000101110010110101
31220121212002112001202
4102220013011302311
5311430034101323
613104335502245
71305424514105
oct225007056265
956555075052
1020000300213
118533714633
123a62087985
131b6978148a
14d7a363205
157c0cc9d28
hex4a81c5cb5

20000300213 has 2 divisors, whose sum is σ = 20000300214. Its totient is φ = 20000300212.

The previous prime is 20000300209. The next prime is 20000300227. The reversal of 20000300213 is 31200300002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14347967089 + 5652333124 = 119783^2 + 75182^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000300213 - 22 = 20000300209 is a prime.

It is a super-3 number, since 3×200003002133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20000300194 and 20000300203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20000300413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000150106 + 10000150107.

It is an arithmetic number, because the mean of its divisors is an integer number (10000150107).

Almost surely, 220000300213 is an apocalyptic number.

It is an amenable number.

20000300213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000300213 is an equidigital number, since it uses as much as digits as its factorization.

20000300213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 20000300213 its reverse (31200300002), we get a palindrome (51200600215).

The spelling of 20000300213 in words is "twenty billion, three hundred thousand, two hundred thirteen".