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331201331003120 = 24553541511442513
BaseRepresentation
bin100101101001110011101000…
…1101011101111111011110000
31121102200112112012212102100112
41023103213101223233323300
5321402400311214044440
63132223442504040452
7126522335510210024
oct11323472153577360
91542615465772315
10331201331003120
1196592771a4aa46
1231191053763128
13112a61c7b00476
145bb0330dbc384
1528454900d9965
hex12d39d1aefef0

331201331003120 has 80 divisors (see below), whose sum is σ = 784587242077632. Its totient is φ = 129978409267200.

The previous prime is 331201331003093. The next prime is 331201331003149. The reversal of 331201331003120 is 21300133102133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228878984 + ... + 230321496.

Almost surely, 2331201331003120 is an apocalyptic number.

It is an amenable number.

331201331003120 is an abundant number, since it is smaller than the sum of its proper divisors (453385911074512).

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

331201331003120 is a wasteful number, since it uses less digits than its factorization.

331201331003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496730 (or 1496724 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 331201331003120 its reverse (21300133102133), we get a palindrome (352501464105253).

The spelling of 331201331003120 in words is "three hundred thirty-one trillion, two hundred one billion, three hundred thirty-one million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 54151 108302 216604 270755 433208 541510 866416 1083020 1442513 2166040 2870003 2885026 4332080 5740006 5770052 7212565 11480012 11540104 14350015 14425130 22960024 23080208 28700030 28850260 45920048 57400060 57700520 76453189 114800120 115401040 152906378 229600240 305812756 382265945 611625512 764531890 1223251024 1529063780 3058127560 6116255120 78113521463 156227042926 312454085852 390567607315 624908171704 781135214630 1249816343408 1562270429260 3124540858520 4140016637539 6249081717040 8280033275078 16560066550156 20700083187695 33120133100312 41400166375390 66240266200624 82800332750780 165600665501560 331201331003120