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332122313120 = 25513604326423
BaseRepresentation
bin1001101010101000000…
…10000101000110100000
31011202021011201121101212
410311110002011012200
520420141303004440
6412324101445252
732665205040113
oct4652402050640
91152234647355
10332122313120
11118941429614
125444b110828
132541bac4a90
14121093a457a
15898c7ab465
hex4d540851a0

332122313120 has 96 divisors (see below), whose sum is σ = 845167623552. Its totient is φ = 122604844032.

The previous prime is 332122313119. The next prime is 332122313209. The reversal of 332122313120 is 21313221233.

It is a super-2 number, since 2×3321223131202 (a number of 24 digits) contains 22 as substring.

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, 12556229 + ... + 12582651.

It is an arithmetic number, because the mean of its divisors is an integer number (8803829412).

Almost surely, 2332122313120 is an apocalyptic number.

It is an amenable number.

332122313120 is an abundant number, since it is smaller than the sum of its proper divisors (513045310432).

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

332122313120 is a wasteful number, since it uses less digits than its factorization.

332122313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32494 (or 32486 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 332122313120 its reverse (21313221233), we get a palindrome (353435534353).

The spelling of 332122313120 in words is "three hundred thirty-two billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6043 12086 24172 26423 30215 48344 52846 60430 78559 96688 105692 120860 132115 157118 193376 211384 241720 264230 314236 343499 392795 422768 483440 528460 628472 686998 785590 845536 966880 1056920 1256944 1373996 1571180 1717495 2113840 2513888 2747992 3142360 3434990 4227680 5495984 6284720 6869980 10991968 12569440 13739960 27479920 54959840 159674189 319348378 638696756 798370945 1277393512 1596741890 2075764457 2554787024 3193483780 4151528914 5109574048 6386967560 8303057828 10378822285 12773935120 16606115656 20757644570 25547870240 33212231312 41515289140 66424462624 83030578280 166061156560 332122313120