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300121132121221 is a prime number
BaseRepresentation
bin100010000111101010110010…
…1011110000011110010000101
31110100122022002201101220201011
41010033111211132003302011
5303314141034310334341
62542145424510002221
7120134015301510325
oct10417254536036205
91410568081356634
10300121132121221
118769a725a39014
12297b159baa6371
13cb603bc0084a8
145417d2427d285
1524a6c8cde2b81
hex110f565783c85

300121132121221 has 2 divisors, whose sum is σ = 300121132121222. Its totient is φ = 300121132121220.

The previous prime is 300121132121179. The next prime is 300121132121273. The reversal of 300121132121221 is 122121231121003.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260638583933025 + 39482548188196 = 16144305^2 + 6283514^2 .

It is a cyclic number.

It is not a de Polignac number, because 300121132121221 - 217 = 300121131990149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300121132121192 and 300121132121201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300121132128221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150060566060610 + 150060566060611.

It is an arithmetic number, because the mean of its divisors is an integer number (150060566060611).

Almost surely, 2300121132121221 is an apocalyptic number.

It is an amenable number.

300121132121221 is a deficient number, since it is larger than the sum of its proper divisors (1).

300121132121221 is an equidigital number, since it uses as much as digits as its factorization.

300121132121221 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 22.

Adding to 300121132121221 its reverse (122121231121003), we get a palindrome (422242363242224).

The spelling of 300121132121221 in words is "three hundred trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty-one".