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331012312212020 = 2251710983291072373
BaseRepresentation
bin100101101000011011100111…
…1010010010010001000110100
31121102000110122011122221112212
41023100313033102102020310
5321341301203411241040
63132000542411232552
7126502564450043225
oct11320671722221064
91542013564587485
10331012312212020
119651a5958525aa
12311604a1748758
131129143385984a
145ba511d4b924c
1528405cac41d65
hex12d0dcf492234

331012312212020 has 96 divisors (see below), whose sum is σ = 742857919927200. Its totient is φ = 123458190557184.

The previous prime is 331012312212019. The next prime is 331012312212077. The reversal of 331012312212020 is 20212213210133.

It can be written as a sum of positive squares in 16 ways, for example, as 12744285967396 + 318268026244624 = 3569914^2 + 17840068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308136554 + ... + 309208926.

It is an arithmetic number, because the mean of its divisors is an integer number (7738103332575).

Almost surely, 2331012312212020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331012312212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371428959963600).

331012312212020 is an abundant number, since it is smaller than the sum of its proper divisors (411845607715180).

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

331012312212020 is a wasteful number, since it uses less digits than its factorization.

331012312212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080837 (or 1080835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 331012312212020 its reverse (20212213210133), we get a palindrome (351224525422153).

The spelling of 331012312212020 in words is "three hundred thirty-one trillion, twelve billion, three hundred twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 8329 9265 16658 18530 33316 37060 41645 83290 141593 166580 283186 566372 707965 907861 1072373 1415930 1815722 2144746 2831860 3631444 4289492 4539305 5361865 9078610 10723730 15433637 18157220 18230341 21447460 30867274 36460682 61734548 72921364 77168185 91151705 116888657 154336370 182303410 233777314 308672740 364606820 467554628 584443285 1168886570 1987107169 2337773140 3974214338 7948428676 8931794717 9935535845 17863589434 19871071690 35727178868 39742143380 44658973585 89317947170 151840510189 178635894340 303681020378 607362040756 759202550945 973565624153 1518405101890 1947131248306 3036810203780 3894262496612 4867828120765 9735656241530 16550615610601 19471312483060 33101231221202 66202462442404 82753078053005 165506156106010 331012312212020