Search a number
-
+
321112003300 = 2252112934928843
BaseRepresentation
bin1001010110000111100…
…01000101001011100100
31010200211211212220202021
410223003301011023210
520230114133101200
6403303344352524
732125311664354
oct4530361051344
91120754786667
10321112003300
11114201399910
1252297915744
13243859ca85a
1411782dacb64
158545d8241a
hex4ac3c452e4

321112003300 has 144 divisors (see below), whose sum is σ = 788652648000. Its totient is φ = 112414579200.

The previous prime is 321112003253. The next prime is 321112003309. The reversal of 321112003300 is 3300211123.

It is a super-2 number, since 2×3211120033002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321112003309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11118679 + ... + 11147521.

It is an arithmetic number, because the mean of its divisors is an integer number (5476754500).

Almost surely, 2321112003300 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 321112003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394326324000).

321112003300 is an abundant number, since it is smaller than the sum of its proper divisors (467540644700).

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

321112003300 is a wasteful number, since it uses less digits than its factorization.

321112003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29246 (or 29239 counting only the distinct ones).

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

Adding to 321112003300 its reverse (3300211123), we get a palindrome (324412214423).

The spelling of 321112003300 in words is "three hundred twenty-one billion, one hundred twelve million, three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 349 550 580 638 698 725 1100 1276 1396 1450 1595 1745 2900 3190 3490 3839 6380 6980 7678 7975 8725 10121 15356 15950 17450 19195 20242 28843 31900 34900 38390 40484 50605 57686 76780 95975 101210 111331 115372 144215 191950 202420 222662 253025 288430 317273 383900 445324 506050 556655 576860 634546 721075 836447 1012100 1113310 1269092 1442150 1586365 1672894 2226620 2783275 2884300 3172730 3345788 4182235 5566550 6345460 7931825 8364470 9200917 10066207 11133100 15863650 16728940 18401834 20132414 20911175 31727300 36803668 40264828 41822350 46004585 50331035 83644700 92009170 100662070 110728277 184018340 201324140 221456554 230022925 251655175 291920003 442913108 460045850 503310350 553641385 583840006 920091700 1006620700 1107282770 1167680012 1459600015 2214565540 2768206925 2919200030 3211120033 5536413850 5838400060 6422240066 7298000075 11072827700 12844480132 14596000150 16055600165 29192000300 32111200330 64222400660 80278000825 160556001650 321112003300