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332001110322020 = 22561895417564457
BaseRepresentation
bin100101101111101000000100…
…0001111101110101101100100
31121112111222220012202101210002
41023133100020033232231210
5322004001233220301040
63134035112102320432
7126634201004230646
oct11337201017565544
91545458805671702
10332001110322020
1196870975586767
12312a0058129118
13113337551313b9
145bdad21cda896
15285b19dd39a15
hex12df4083eeb64

332001110322020 has 96 divisors (see below), whose sum is σ = 716727589935840. Its totient is φ = 129131637719040.

The previous prime is 332001110322019. The next prime is 332001110322031. The reversal of 332001110322020 is 20223011100233.

It can be written as a sum of positive squares in 16 ways, for example, as 220538657095936 + 111462453226084 = 14850544^2 + 10557578^2 .

It is a super-2 number, since 2×3320011103220202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 332001110321983 and 332001110322001.

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, 587895632 + ... + 588460088.

It is an arithmetic number, because the mean of its divisors is an integer number (7465912395165).

Almost surely, 2332001110322020 is an apocalyptic number.

It is an amenable number.

332001110322020 is an abundant number, since it is smaller than the sum of its proper divisors (384726479613820).

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

332001110322020 is a wasteful number, since it uses less digits than its factorization.

332001110322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570033 (or 570031 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 332001110322020 its reverse (20223011100233), we get a palindrome (352224121422253).

The spelling of 332001110322020 in words is "three hundred thirty-two trillion, one billion, one hundred ten million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 89 122 178 244 305 356 445 610 890 1220 1780 5417 5429 10834 10858 21668 21716 27085 27145 54170 54290 108340 108580 330437 482113 564457 660874 964226 1128914 1321748 1652185 1928452 2257828 2410565 2822285 3304370 4821130 5644570 6608740 9642260 11289140 29408893 34431877 50236673 58817786 68863754 100473346 117635572 137727508 147044465 172159385 200946692 251183365 294088930 344318770 502366730 588177860 688637540 1004733460 3057663569 3064437053 6115327138 6128874106 12230654276 12257748212 15288317845 15322185265 30576635690 30644370530 61153271380 61288741060 186517477709 272132057641 373034955418 544264115282 746069910836 932587388545 1088528230564 1360660288205 1865174777090 2721320576410 3730349554180 5442641152820 16600055516101 33200111032202 66400222064404 83000277580505 166000555161010 332001110322020