Search a number
-
+
20103330212300 = 225273113181113457
BaseRepresentation
bin1001001001000101010111…
…10110110010100111001100
32122011212012122111011100202
410210202223312302213030
510113333110013243200
6110431201543113032
74143263156234066
oct444425366624714
978155178434322
1020103330212300
1164508578a2a05
1223081b0742778
13b2a974a232aa
144d70136c0736
1524ce016401d5
hex1248abdb29cc

20103330212300 has 144 divisors (see below), whose sum is σ = 44641113848352. Its totient is φ = 7856064921600.

The previous prime is 20103330212299. The next prime is 20103330212321. The reversal of 20103330212300 is 321203330102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493887172 + ... + 1493900628.

It is an arithmetic number, because the mean of its divisors is an integer number (310007735058).

Almost surely, 220103330212300 is an apocalyptic number.

20103330212300 is a gapful number since it is divisible by the number (20) 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 20103330212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320556924176).

20103330212300 is an abundant number, since it is smaller than the sum of its proper divisors (24537783636052).

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

20103330212300 is a wasteful number, since it uses less digits than its factorization.

20103330212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15468 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20103330212300 its reverse (321203330102), we get a palindrome (20424533542402).

The spelling of 20103330212300 in words is "twenty trillion, one hundred three billion, three hundred thirty million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 113 146 226 292 365 452 565 730 1130 1460 1811 1825 2260 2825 3622 3650 5650 7244 7300 8249 9055 11300 13457 16498 18110 26914 32996 36220 41245 45275 53828 67285 82490 90550 132203 134570 164980 181100 204643 206225 264406 269140 336425 409286 412450 528812 661015 672850 818572 824900 982361 1023215 1322030 1345700 1520641 1964722 2046430 2644060 3041282 3305075 3929444 4092860 4911805 5116075 6082564 6610150 7603205 9823610 10232150 13220300 14938939 15206410 19647220 20464300 24370627 24559025 29877878 30412820 38016025 48741254 49118050 59755756 74694695 76032050 97482508 98236100 111006793 121853135 149389390 152064100 222013586 243706270 298778780 373473475 444027172 487412540 555033965 609265675 746946950 1110067930 1218531350 1493893900 1779055771 2220135860 2437062700 2753880851 2775169825 3558111542 5507761702 5550339650 7116223084 8895278855 11015523404 11100679300 13769404255 17790557710 27538808510 35581115420 44476394275 55077617020 68847021275 88952788550 137694042550 177905577100 201033302123 275388085100 402066604246 804133208492 1005166510615 2010333021230 4020666042460 5025832553075 10051665106150 20103330212300