Search a number
-
+
21020322300 = 22352294751407
BaseRepresentation
bin10011100100111010…
…001010100111111100
32000020221110000022120
4103210322022213330
5321022200303200
613353454242540
71342621535325
oct234472124774
960227400276
1021020322300
118a0747329a
1240a77b6450
131c9cbabb43
141035a0344c
158306139a0
hex4e4e8a9fc

21020322300 has 144 divisors (see below), whose sum is σ = 64255887360. Its totient is φ = 5296874240.

The previous prime is 21020322293. The next prime is 21020322317. The reversal of 21020322300 is 322302012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21020322300.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 383197 + ... + 434603.

It is an arithmetic number, because the mean of its divisors is an integer number (446221440).

Almost surely, 221020322300 is an apocalyptic number.

21020322300 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 21020322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32127943680).

21020322300 is an abundant number, since it is smaller than the sum of its proper divisors (43235565060).

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

21020322300 is a wasteful number, since it uses less digits than its factorization.

21020322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51500 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21020322300 its reverse (322302012), we get a palindrome (21342624312).

The spelling of 21020322300 in words is "twenty-one billion, twenty million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 47 50 58 60 75 87 94 100 116 141 145 150 174 188 235 282 290 300 348 435 470 564 580 705 725 870 940 1175 1363 1410 1450 1740 2175 2350 2726 2820 2900 3525 4089 4350 4700 5452 6815 7050 8178 8700 13630 14100 16356 20445 27260 34075 40890 51407 68150 81780 102225 102814 136300 154221 204450 205628 257035 308442 408900 514070 616884 771105 1028140 1285175 1490803 1542210 2416129 2570350 2981606 3084420 3855525 4472409 4832258 5140700 5963212 7248387 7454015 7711050 8944818 9664516 12080645 14496774 14908030 15422100 17889636 22362045 24161290 28993548 29816060 36241935 37270075 44724090 48322580 60403225 70067741 72483870 74540150 89448180 111810225 120806450 140135482 144967740 149080300 181209675 210203223 223620450 241612900 280270964 350338705 362419350 420406446 447240900 700677410 724838700 840812892 1051016115 1401354820 1751693525 2102032230 3503387050 4204064460 5255080575 7006774100 10510161150 21020322300