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301121321321 = 101111712492137
BaseRepresentation
bin1000110000111000011…
…10101011100101101001
31001210020122220001102102
410120130032223211221
514413144024240241
6350155550543145
730520031666612
oct4303416534551
91053218801372
10301121321321
11106783154637
124a438b07ab5
132251b236252
1410808030c09
157c75d5739b
hex461c3ab969

301121321321 has 16 divisors (see below), whose sum is σ = 304761210000. Its totient is φ = 297495244800.

The previous prime is 301121321297. The next prime is 301121321357. The reversal of 301121321321 is 123123121103.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30654757225 + 270466564096 = 175085^2 + 520064^2 .

It is a cyclic number.

It is not a de Polignac number, because 301121321321 - 230 = 300047579497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 301121321293 and 301121321302.

It is not an unprimeable number, because it can be changed into a prime (301121320321) 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 in 15 ways as a sum of consecutive naturals, for example, 140907365 + ... + 140909501.

It is an arithmetic number, because the mean of its divisors is an integer number (19047575625).

Almost surely, 2301121321321 is an apocalyptic number.

It is an amenable number.

301121321321 is a deficient number, since it is larger than the sum of its proper divisors (3639888679).

301121321321 is a wasteful number, since it uses less digits than its factorization.

301121321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 301121321321 its reverse (123123121103), we get a palindrome (424244442424).

The spelling of 301121321321 in words is "three hundred one billion, one hundred twenty-one million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 101 1117 1249 2137 112817 126149 215837 1395133 2387029 2669113 140908433 241089929 269580413 2981399221 301121321321