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1320321003100 = 22521131229169079
BaseRepresentation
bin10011001101101001010…
…000111010111001011100
311200012222102220100221121
4103031221100322321130
5133113004134044400
62450314101140324
7164250533232361
oct23155120727134
94605872810847
101320321003100
11469a43870630
12193a789ba6a4
1397676144a28
1447c92350468
1524527e4d21a
hex1336943ae5c

1320321003100 has 144 divisors (see below), whose sum is σ = 3240492595200. Its totient is φ = 462597408000.

The previous prime is 1320321003091. The next prime is 1320321003107. The reversal of 1320321003100 is 13001230231.

It is a super-2 number, since 2×13203210031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320321003107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7724361 + ... + 7893439.

It is an arithmetic number, because the mean of its divisors is an integer number (22503420800).

Almost surely, 21320321003100 is an apocalyptic number.

1320321003100 is a gapful number since it is divisible by the number (10) 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 1320321003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620246297600).

1320321003100 is an abundant number, since it is smaller than the sum of its proper divisors (1920171592100).

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

1320321003100 is a wasteful number, since it uses less digits than its factorization.

1320321003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169364 (or 169357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1320321003100 its reverse (13001230231), we get a palindrome (1333322233331).

The spelling of 1320321003100 in words is "one trillion, three hundred twenty billion, three hundred twenty-one million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 229 275 310 341 458 550 620 682 775 916 1100 1145 1364 1550 1705 2290 2519 3100 3410 4580 5038 5725 6820 7099 8525 10076 11450 12595 14198 17050 22900 25190 28396 34100 35495 50380 62975 70990 78089 125950 141980 156178 169079 177475 251900 312356 338158 354950 390445 676316 709900 780890 845395 1561780 1690790 1859869 1952225 3381580 3719738 3904450 4226975 5241449 7439476 7808900 8453950 9299345 10482898 16907900 18598690 20965796 26207245 37197380 38719091 46496725 52414490 57655939 77438182 92993450 104828980 115311878 131036225 154876364 185986900 193595455 230623756 262072450 288279695 387190910 425910001 524144900 576559390 774381820 851820002 967977275 1153118780 1200291821 1441398475 1703640004 1935954550 2129550005 2400583642 2882796950 3871909100 4259100010 4801167284 5765593900 6001459105 8518200020 10647750025 12002918210 13203210031 21295500050 24005836420 26406420062 30007295525 42591000100 52812840124 60014591050 66016050155 120029182100 132032100310 264064200620 330080250775 660160501550 1320321003100