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3132420324241 = 131731214749061
BaseRepresentation
bin101101100101010010110…
…011001111101110010001
3102002110022202110201202111
4231211102303033232101
5402310144100333431
610355003010345321
7442211203304245
oct55452263175621
912073282421674
103132420324241
11aa84a767a27a
1242710128b241
13199502c88250
14ab8779d2425
1556734ce57b1
hex2d952ccfb91

3132420324241 has 24 divisors (see below), whose sum is σ = 3690746278632. Its totient is φ = 2633592153600.

The previous prime is 3132420324221. The next prime is 3132420324247. The reversal of 3132420324241 is 1424230242313.

3132420324241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 863977686016 + 2268442638225 = 929504^2 + 1506135^2 .

It is not a de Polignac number, because 3132420324241 - 27 = 3132420324113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3132420324247) 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 23 ways as a sum of consecutive naturals, for example, 7162150 + ... + 7586911.

It is an arithmetic number, because the mean of its divisors is an integer number (153781094943).

Almost surely, 23132420324241 is an apocalyptic number.

3132420324241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3132420324241 is a deficient number, since it is larger than the sum of its proper divisors (558325954391).

3132420324241 is a wasteful number, since it uses less digits than its factorization.

3132420324241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749153 (or 14749122 counting only the distinct ones).

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

Adding to 3132420324241 its reverse (1424230242313), we get a palindrome (4556650566554).

The spelling of 3132420324241 in words is "three trillion, one hundred thirty-two billion, four hundred twenty million, three hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 13 17 31 221 403 527 961 6851 12493 16337 212381 14749061 191737793 250734037 457220891 3259542481 5943871583 7772755147 14173847621 101045816911 184260019073 240955409557 3132420324241