Search a number
-
+
22010110111200 = 2535263891435417
BaseRepresentation
bin1010000000100101000001…
…10010110110110111100000
32212221010221102021012220210
411000102200302312313200
510341103201142024300
6114451145513534120
74431115022035551
oct500224062666740
985833842235823
1022010110111200
1170164873a0022
122575859414340
13c387102a9413
1456141b734328
15282800722050
hex1404a0cb6de0

22010110111200 has 144 divisors (see below), whose sum is σ = 71654171808240. Its totient is φ = 5868439941120.

The previous prime is 22010110111193. The next prime is 22010110111217. The reversal of 22010110111200 is 211101101022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14615892 + ... + 16051308.

It is an arithmetic number, because the mean of its divisors is an integer number (497598415335).

Almost surely, 222010110111200 is an apocalyptic number.

22010110111200 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 22010110111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35827085904120).

22010110111200 is an abundant number, since it is smaller than the sum of its proper divisors (49644061697040).

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

22010110111200 is a wasteful number, since it uses less digits than its factorization.

22010110111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441829 (or 1441816 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22010110111200 its reverse (211101101022), we get a palindrome (22221211212222).

The spelling of 22010110111200 in words is "twenty-two trillion, ten billion, one hundred ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 6389 12778 19167 25556 31945 38334 51112 63890 76668 95835 102224 127780 153336 159725 191670 204448 255560 306672 319450 383340 479175 511120 613344 638900 766680 958350 1022240 1277800 1435417 1533360 1916700 2555600 2870834 3066720 3833400 4306251 5111200 5741668 7177085 7666800 8612502 11483336 14354170 15333600 17225004 21531255 22966672 28708340 34450008 35885425 43062510 45933344 57416680 68900016 71770850 86125020 107656275 114833360 137800032 143541700 172250040 215312550 229666720 287083400 344500080 430625100 574166800 689000160 861250200 1148333600 1722500400 3445000800 9170879213 18341758426 27512637639 36683516852 45854396065 55025275278 73367033704 91708792130 110050550556 137563188195 146734067408 183417584260 220101101112 229271980325 275126376390 293468134816 366835168520 440202202224 458543960650 550252752780 687815940975 733670337040 880404404448 917087921300 1100505505560 1375631881950 1467340674080 1834175842600 2201011011120 2751263763900 3668351685200 4402022022240 5502527527800 7336703370400 11005055055600 22010110111200