Search a number
-
+
20331322000220 = 225721117110942497
BaseRepresentation
bin1001001111101110000010…
…01110011100001101011100
32122222122200210021000011002
410213313001032130031130
510131102021413001340
6111124025210245432
74165614053403200
oct447670116341534
978878623230132
1020331322000220
116529513261730
12234441a726878
13b4630a34638a
14504081214b00
15253ce7257715
hex127dc139c35c

20331322000220 has 144 divisors (see below), whose sum is σ = 57368809485792. Its totient is φ = 5964268584960.

The previous prime is 20331322000219. The next prime is 20331322000243. The reversal of 20331322000220 is 2200022313302.

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

It is a junction number, because it is equal to n+sod(n) for n = 20331322000192 and 20331322000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55287989 + ... + 55654508.

It is an arithmetic number, because the mean of its divisors is an integer number (398394510318).

Almost surely, 220331322000220 is an apocalyptic number.

20331322000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20331322000220 is an abundant number, since it is smaller than the sum of its proper divisors (37037487485572).

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

20331322000220 is a wasteful number, since it uses less digits than its factorization.

20331322000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110942548 (or 110942539 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20331322000220 its reverse (2200022313302), we get a palindrome (22531344313522).

The spelling of 20331322000220 in words is "twenty trillion, three hundred thirty-one billion, three hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 49 55 68 70 77 85 98 110 119 140 154 170 187 196 220 238 245 308 340 374 385 476 490 539 595 748 770 833 935 980 1078 1190 1309 1540 1666 1870 2156 2380 2618 2695 3332 3740 4165 5236 5390 6545 8330 9163 10780 13090 16660 18326 26180 36652 45815 91630 183260 110942497 221884994 443769988 554712485 776597479 1109424970 1220367467 1553194958 1886022449 2218849940 2440734934 3106389916 3772044898 3882987395 4881469868 5436182353 6101837335 7544089796 7765974790 8542572269 9430112245 10872364706 12203674670 13202157143 15531949580 17085144538 18860224490 20746246939 21744729412 24407349340 26404314286 27180911765 34170289076 37720448980 41492493878 42712861345 52808628572 54361823530 59798005883 66010785715 82984987756 85425722690 92415100001 103731234695 108723647060 119596011766 132021571430 145223728573 170851445380 184830200002 207462469390 239192023532 264043142860 290447457146 298990029415 369660400004 414924938780 462075500005 580894914292 597980058830 726118642865 924151000010 1016566100011 1195960117660 1452237285730 1848302000020 2033132200022 2904474571460 4066264400044 5082830500055 10165661000110 20331322000220