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301221220301 = 1032102127809
BaseRepresentation
bin1000110001000100010…
…11110000111111001101
31001210111121212110001122
410120202023300333031
514413400113022201
6350213520050325
730522354061361
oct4304213607715
91053447773048
10301221220301
11106824587181
124a4664639a5
1322535b42a81
14108173d72a1
157c7e9dbe1b
hex46222f0fcd

301221220301 has 12 divisors (see below), whose sum is σ = 304482957660. Its totient is φ = 297993864960.

The previous prime is 301221220291. The next prime is 301221220319. The reversal of 301221220301 is 103022122103.

It can be written as a sum of positive squares in 2 ways, for example, as 194612440201 + 106608780100 = 441149^2 + 326510^2 .

It is not a de Polignac number, because 301221220301 - 222 = 301217025997 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 301221220301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301221220381) 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 11 ways as a sum of consecutive naturals, for example, 10817885 + ... + 10845693.

It is an arithmetic number, because the mean of its divisors is an integer number (25373579805).

Almost surely, 2301221220301 is an apocalyptic number.

It is an amenable number.

301221220301 is a deficient number, since it is larger than the sum of its proper divisors (3261737359).

301221220301 is a wasteful number, since it uses less digits than its factorization.

301221220301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29036 (or 28933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 301221220301 its reverse (103022122103), we get a palindrome (404243342404).

The spelling of 301221220301 in words is "three hundred one billion, two hundred twenty-one million, two hundred twenty thousand, three hundred one".

Divisors: 1 103 1021 10609 27809 105163 2864327 10831789 28392989 295025681 2924477867 301221220301