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301241042225 = 5231212538649
BaseRepresentation
bin1000110001000110101…
…11011000010100110001
31001210120000011111121222
410120203113120110301
514413420201322400
6350215504554425
730523014416264
oct4304327302461
91053500144558
10301241042225
11106834795732
124a471022a15
1322539c93116
1410819cb6cdb
157c81605185
hex46235d8531

301241042225 has 18 divisors (see below), whose sum is σ = 385977262950. Its totient is φ = 233218852800.

The previous prime is 301241042209. The next prime is 301241042227. The reversal of 301241042225 is 522240142103.

It can be written as a sum of positive squares in 3 ways, for example, as 543449344 + 300697592881 = 23312^2 + 548359^2 .

It is not a de Polignac number, because 301241042225 - 24 = 301241042209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 301241042194 and 301241042203.

It is not an unprimeable number, because it can be changed into a prime (301241042227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6245300 + ... + 6293349.

It is an arithmetic number, because the mean of its divisors is an integer number (21443181275).

Almost surely, 2301241042225 is an apocalyptic number.

It is an amenable number.

301241042225 is a deficient number, since it is larger than the sum of its proper divisors (84736220725).

301241042225 is a wasteful number, since it uses less digits than its factorization.

301241042225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12538721 (or 12538685 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 301241042225 its reverse (522240142103), we get a palindrome (823481184328).

The spelling of 301241042225 in words is "three hundred one billion, two hundred forty-one million, forty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 775 961 4805 24025 12538649 62693245 313466225 388698119 1943490595 9717452975 12049641689 60248208445 301241042225