Search a number
-
+
22020010010020 = 22511735333257099
BaseRepresentation
bin1010000000110111011101…
…10111111110010110100100
32212222002111100200012001001
411000123232313332112210
510341233440030310040
6114455504123043044
74431615242554411
oct500335667762644
985862440605031
1022020010010020
11701a6a7654590
122577760970484
13c3962a319009
14561aba47b108
15282bce90a59a
hex1406eedfe5a4

22020010010020 has 96 divisors (see below), whose sum is σ = 51146667734400. Its totient is φ = 7896076047360.

The previous prime is 22020010009979. The next prime is 22020010010023. The reversal of 22020010010020 is 2001001002022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22020010009979 and 22020010010006.

It is not an unprimeable number, because it can be changed into a prime (22020010010023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85519431 + ... + 85776529.

It is an arithmetic number, because the mean of its divisors is an integer number (532777788900).

Almost surely, 222020010010020 is an apocalyptic number.

22020010010020 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 22020010010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25573333867200).

22020010010020 is an abundant number, since it is smaller than the sum of its proper divisors (29126657724380).

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

22020010010020 is a wasteful number, since it uses less digits than its factorization.

22020010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262525 (or 262523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22020010010020 its reverse (2001001002022), we get a palindrome (24021011012042).

The spelling of 22020010010020 in words is "twenty-two trillion, twenty billion, ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 5333 8030 10666 16060 21332 26665 53330 58663 106660 117326 234652 257099 293315 389309 514198 586630 778618 1028396 1173260 1285495 1557236 1946545 2570990 2828089 3893090 4282399 5141980 5656178 7786180 8564798 11312356 14140445 17129596 18768227 21411995 28280890 37536454 42823990 56561780 75072908 85647980 93841135 187682270 206450497 375364540 412900994 825801988 1032252485 1371108967 2064504970 2742217934 4129009940 5484435868 6855544835 13711089670 15082198637 27422179340 30164397274 60328794548 75410993185 100090954591 150821986370 200181909182 301643972740 400363818364 500454772955 1000909545910 1101000500501 2001819091820 2202001001002 4404002002004 5505002502505 11010005005010 22020010010020