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21000300301 is a prime number
BaseRepresentation
bin10011100011101101…
…110010011100001101
32000012112202210022001
4103203231302130031
5321002034102201
613351501152301
71342256415211
oct234355623415
960175683261
1021000300301
1189a7138492
1240a0b5b691
131c989bb6c6
1410330b0941
1582d9ab301
hex4e3b7270d

21000300301 has 2 divisors, whose sum is σ = 21000300302. Its totient is φ = 21000300300.

The previous prime is 21000300289. The next prime is 21000300313. The reversal of 21000300301 is 10300300012.

It is a balanced prime because it is at equal distance from previous prime (21000300289) and next prime (21000300313).

It can be written as a sum of positive squares in only one way, i.e., 20128515625 + 871784676 = 141875^2 + 29526^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000300301 - 27 = 21000300173 is a prime.

It is a super-2 number, since 2×210003003012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21000300341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500150150 + 10500150151.

It is an arithmetic number, because the mean of its divisors is an integer number (10500150151).

Almost surely, 221000300301 is an apocalyptic number.

It is an amenable number.

21000300301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000300301 is an equidigital number, since it uses as much as digits as its factorization.

21000300301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 21000300301 its reverse (10300300012), we get a palindrome (31300600313).

The spelling of 21000300301 in words is "twenty-one billion, three hundred thousand, three hundred one".