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1100303232330 = 2352943310312833
BaseRepresentation
bin10000000000101111001…
…011101110110101001010
310220012002000122120021210
4100000233023232311022
5121011410111413310
62201250004513550
7142331353105551
oct20005713566512
93805060576253
101100303232330
113946aa542a25
121592b53ab8b6
137c9b18683a3
143b37d87cd98
151d94c3ec820
hex1002f2eed4a

1100303232330 has 128 divisors (see below), whose sum is σ = 2741719518720. Its totient is φ = 282268385280.

The previous prime is 1100303232319. The next prime is 1100303232349. The reversal of 1100303232330 is 332323030011.

It is a junction number, because it is equal to n+sod(n) for n = 1100303232297 and 1100303232306.

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 63 ways as a sum of consecutive naturals, for example, 388386594 + ... + 388389426.

It is an arithmetic number, because the mean of its divisors is an integer number (21419683740).

Almost surely, 21100303232330 is an apocalyptic number.

1100303232330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100303232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370859759360).

1100303232330 is an abundant number, since it is smaller than the sum of its proper divisors (1641416286390).

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

1100303232330 is a wasteful number, since it uses less digits than its factorization.

1100303232330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1100303232330 its reverse (332323030011), we get a palindrome (1432626262341).

The spelling of 1100303232330 in words is "one trillion, one hundred billion, three hundred three million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 433 435 866 870 1031 1299 2062 2165 2598 2833 3093 4330 5155 5666 6186 6495 8499 10310 12557 12990 14165 15465 16998 25114 28330 29899 30930 37671 42495 59798 62785 75342 82157 84990 89697 125570 149495 164314 179394 188355 246471 298990 376710 410785 446423 448485 492942 821570 892846 896970 1226689 1232355 1339269 2232115 2453378 2464710 2678538 2920823 3680067 4464230 5841646 6133445 6696345 7360134 8762469 12266890 12946267 13392690 14604115 17524938 18400335 25892534 29208230 35573981 36800670 38838801 43812345 64731335 71147962 77677602 84703867 87624690 106721943 129462670 169407734 177869905 194194005 213443886 254111601 355739810 388388010 423519335 508223202 533609715 847038670 1067219430 1264716359 1270558005 2529432718 2541116010 3794149077 6323581795 7588298154 12647163590 18970745385 36676774411 37941490770 73353548822 110030323233 183383872055 220060646466 366767744110 550151616165 1100303232330