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331202231330020 = 225531971586065661
BaseRepresentation
bin100101101001110100000011…
…1010110001110010011100100
31121102200121211221222202200021
41023103220013112032103210
5321402404132210030040
63132224112105124524
7126522400021646551
oct11323500726162344
91542617757882607
10331202231330020
1196593094185966
1231191265189744
13112a630c4ac88b
145bb03b87c1a28
1528454e417d24a
hex12d3a0758e4e4

331202231330020 has 48 divisors (see below), whose sum is σ = 712244990440368. Its totient is φ = 129321449653760.

The previous prime is 331202231329997. The next prime is 331202231330039. The reversal of 331202231330020 is 20033132202133.

It can be written as a sum of positive squares in 8 ways, for example, as 87657679554624 + 243544551775396 = 9362568^2 + 15605914^2 .

It is an unprimeable number.

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, 792824011 + ... + 793241650.

It is an arithmetic number, because the mean of its divisors is an integer number (14838437300841).

Almost surely, 2331202231330020 is an apocalyptic number.

It is an amenable number.

331202231330020 is an abundant number, since it is smaller than the sum of its proper divisors (381042759110348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331202231330020 is a wasteful number, since it uses less digits than its factorization.

331202231330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586065920 (or 1586065918 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 331202231330020 its reverse (20033132202133), we get a palindrome (351235363532153).

The spelling of 331202231330020 in words is "three hundred thirty-one trillion, two hundred two billion, two hundred thirty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 197 212 265 394 530 788 985 1060 1970 3940 10441 20882 41764 52205 104410 208820 1586065661 3172131322 6344262644 7930328305 15860656610 31721313220 84061480033 168122960066 312454935217 336245920132 420307400165 624909870434 840614800330 1249819740868 1562274676085 1681229600660 3124549352170 6249098704340 16560111566501 33120223133002 66240446266004 82800557832505 165601115665010 331202231330020