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300120211233001 is a prime number
BaseRepresentation
bin100010000111101010010111…
…0100101001001100011101001
31110100122012201112120221120001
41010033110232211021203221
5303314132143033424001
62542145153252103001
7120133653420213115
oct10417245645114351
91410565645527501
10300120211233001
118769a2a313a075
12297b1383604a61
13cb602a32aa313
145417c77c46745
1524a6c3713c001
hex110f52e9498e9

300120211233001 has 2 divisors, whose sum is σ = 300120211233002. Its totient is φ = 300120211233000.

The previous prime is 300120211232929. The next prime is 300120211233043. The reversal of 300120211233001 is 100332112021003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210750112045225 + 89370099187776 = 14517235^2 + 9453576^2 .

It is a cyclic number.

It is not a de Polignac number, because 300120211233001 - 29 = 300120211232489 is a prime.

It is a super-2 number, since 2×3001202112330012 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 300120211233001.

It is not a weakly prime, because it can be changed into another prime (300120211234001) 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, 150060105616500 + 150060105616501.

It is an arithmetic number, because the mean of its divisors is an integer number (150060105616501).

Almost surely, 2300120211233001 is an apocalyptic number.

It is an amenable number.

300120211233001 is a deficient number, since it is larger than the sum of its proper divisors (1).

300120211233001 is an equidigital number, since it uses as much as digits as its factorization.

300120211233001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 300120211233001 its reverse (100332112021003), we get a palindrome (400452323254004).

The spelling of 300120211233001 in words is "three hundred trillion, one hundred twenty billion, two hundred eleven million, two hundred thirty-three thousand, one".