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3323120201000 = 235323613235699
BaseRepresentation
bin110000010110111001011…
…001100010110100101000
3102202200112221221012112222
4300112321121202310220
5413421222232413000
611022341554453212
7462042005435315
oct60267131426450
912680487835488
103323120201000
1110713667a1206
12458062294208
131b14a45b5202
14b6ba8895d0c
155b696a57a85
hex305b9662d28

3323120201000 has 128 divisors (see below), whose sum is σ = 8127463968000. Its totient is φ = 1269375148800.

The previous prime is 3323120200993. The next prime is 3323120201033. The reversal of 3323120201000 is 1020213233.

It is a super-2 number, since 2×33231202010002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3323120201000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13981151 + ... + 14216849.

It is an arithmetic number, because the mean of its divisors is an integer number (63495812250).

Almost surely, 23323120201000 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 3323120201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063731984000).

3323120201000 is an abundant number, since it is smaller than the sum of its proper divisors (4804343767000).

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

3323120201000 is a wasteful number, since it uses less digits than its factorization.

3323120201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236356 (or 236342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 3323120201000 its reverse (1020213233), we get a palindrome (3324140414233).

The spelling of 3323120201000 in words is "three trillion, three hundred twenty-three billion, one hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 613 920 1000 1150 1226 2300 2452 2875 3065 4600 4904 5750 6130 11500 12260 14099 15325 23000 24520 28198 30650 56396 61300 70495 76625 112792 122600 140990 153250 235699 281980 306500 352475 471398 563960 613000 704950 942796 1178495 1409900 1762375 1885592 2356990 2819800 3524750 4713980 5421077 5892475 7049500 9427960 10842154 11784950 14099000 21684308 23569900 27105385 29462375 43368616 47139800 54210770 58924750 108421540 117849500 135526925 144483487 216843080 235699000 271053850 288966974 542107700 577933948 677634625 722417435 1084215400 1155867896 1355269250 1444834870 2710538500 2889669740 3323120201 3612087175 5421077000 5779339480 6646240402 7224174350 13292480804 14448348700 16615601005 18060435875 26584961608 28896697400 33231202010 36120871750 66462404020 72241743500 83078005025 132924808040 144483487000 166156010050 332312020100 415390025125 664624040200 830780050250 1661560100500 3323120201000