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4331242242301 = 132932029358697
BaseRepresentation
bin111111000001110010001…
…001111100000011111101
3120100001200201102002010111
4333001302021330003331
51031430341003223201
613113424544510021
7624631135420132
oct77016211740375
916301621362114
104331242242301
11141a96236aa27
1259b51031b311
13255585483c40
1410d8c1894589
15779eb374b51
hex3f07227c0fd

4331242242301 has 16 divisors (see below), whose sum is σ = 4825420714800. Its totient is φ = 3860074003968.

The previous prime is 4331242242289. The next prime is 4331242242307. The reversal of 4331242242301 is 1032422421334.

It can be written as a sum of positive squares in 8 ways, for example, as 273733008025 + 4057509234276 = 523195^2 + 2014326^2 .

It is not a de Polignac number, because 4331242242301 - 223 = 4331233853693 is a prime.

It is a super-2 number, since 2×43312422423012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331242242307) 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 in 15 ways as a sum of consecutive naturals, for example, 11895585 + ... + 12254281.

It is an arithmetic number, because the mean of its divisors is an integer number (301588794675).

Almost surely, 24331242242301 is an apocalyptic number.

It is an amenable number.

4331242242301 is a deficient number, since it is larger than the sum of its proper divisors (494178472499).

4331242242301 is a wasteful number, since it uses less digits than its factorization.

4331242242301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390768.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4331242242301 its reverse (1032422421334), we get a palindrome (5363664663635).

The spelling of 4331242242301 in words is "four trillion, three hundred thirty-one billion, two hundred forty-two million, two hundred forty-two thousand, three hundred one".

Divisors: 1 13 29 377 32029 358697 416377 928841 4663061 10402213 12074933 135228769 11488706213 149353180769 333172480177 4331242242301