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2010332210304 = 273111972415893
BaseRepresentation
bin11101010000010001001…
…000110010010010000000
321010012000111201111221210
4131100101020302102000
5230414130021212204
64135311152050120
7265145622562125
oct35202110622200
97105014644853
102010332210304
1170563913a370
12285748233940
1311775c019692
146d42cbac74c
153746010d389
hex1d411232480

2010332210304 has 128 divisors (see below), whose sum is σ = 5854967426880. Its totient is φ = 606098984960.

The previous prime is 2010332210251. The next prime is 2010332210377. The reversal of 2010332210304 is 4030122330102.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375819 + ... + 2040074.

Almost surely, 22010332210304 is an apocalyptic number.

2010332210304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010332210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927483713440).

2010332210304 is an abundant number, since it is smaller than the sum of its proper divisors (3844635216576).

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

2010332210304 is a wasteful number, since it uses less digits than its factorization.

2010332210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416118 (or 2416106 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2010332210304 its reverse (4030122330102), we get a palindrome (6040454540406).

The spelling of 2010332210304 in words is "two trillion, ten billion, three hundred thirty-two million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 197 264 352 384 394 528 591 704 788 1056 1182 1408 1576 2112 2167 2364 3152 4224 4334 4728 6304 6501 8668 9456 12608 13002 17336 18912 25216 26004 34672 37824 52008 69344 75648 104016 138688 208032 277376 416064 832128 2415893 4831786 7247679 9663572 14495358 19327144 26574823 28990716 38654288 53149646 57981432 77308576 79724469 106299292 115962864 154617152 159448938 212598584 231925728 309234304 318897876 425197168 463851456 475930921 637795752 850394336 927702912 951861842 1275591504 1427792763 1700788672 1903723684 2551183008 2855585526 3401577344 3807447368 5102366016 5235240131 5711171052 7614894736 10204732032 10470480262 11422342104 15229789472 15705720393 20940960524 22844684208 30459578944 31411440786 41881921048 45689368416 60919157888 62822881572 83763842096 91378736832 125645763144 167527684192 182757473664 251291526288 335055368384 502583052576 670110736768 1005166105152 2010332210304