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220211330130 = 233511711044299
BaseRepresentation
bin1100110100010110011…
…1100011110001010010
3210001101220110122012000
43031011213203301102
512101443100031010
6245055205014430
721624020264511
oct3150547436122
9701356418160
10220211330130
1185433611720
12368183b4416
13179c571a20c
14a930498678
155adca367c0
hex33459e3c52

220211330130 has 128 divisors (see below), whose sum is σ = 649638144000. Its totient is φ = 52632619200.

The previous prime is 220211330113. The next prime is 220211330161. The reversal of 220211330130 is 31033112022.

220211330130 is a `hidden beast` number, since 2 + 202 + 1 + 1 + 330 + 130 = 666.

220211330130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 311280 + ... + 733019.

It is an arithmetic number, because the mean of its divisors is an integer number (5075298000).

Almost surely, 2220211330130 is an apocalyptic number.

220211330130 is an abundant number, since it is smaller than the sum of its proper divisors (429426813870).

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

220211330130 is a wasteful number, since it uses less digits than its factorization.

220211330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044397 (or 1044391 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220211330130 its reverse (31033112022), we get a palindrome (251244442152).

The spelling of 220211330130 in words is "two hundred twenty billion, two hundred eleven million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 71 90 99 110 135 142 165 198 213 270 297 330 355 426 495 594 639 710 781 990 1065 1278 1485 1562 1917 2130 2343 2970 3195 3834 3905 4686 6390 7029 7810 9585 11715 14058 19170 21087 23430 35145 42174 70290 105435 210870 1044299 2088598 3132897 5221495 6265794 9398691 10442990 11487289 15664485 18797382 22974578 28196073 31328970 34461867 46993455 56392146 57436445 68923734 74145229 93986910 103385601 114872890 140980365 148290458 172309335 206771202 222435687 281960730 310156803 344618670 370726145 444871374 516928005 620313606 667307061 741452290 815597519 1033856010 1112178435 1334614122 1550784015 1631195038 2001921183 2224356870 2446792557 3101568030 3336535305 4003842366 4077987595 4893585114 6673070610 7340377671 8155975190 10009605915 12233962785 14680755342 20019211830 22021133013 24467925570 36701888355 44042266026 73403776710 110105665065 220211330130