Search a number
-
+
2110220202020 = 2257312292123257
BaseRepresentation
bin11110101101010010111…
…011001111000000100100
321110201211212121020201112
4132231102323033000210
5234033212332431040
64253231034244152
7305313136522640
oct36552273170044
97421755536645
102110220202020
11743a37321a37
122a0b84586658
13123cba56c918
14741c6dd3c20
1539d595c0365
hex1eb52ecf024

2110220202020 has 96 divisors (see below), whose sum is σ = 5250732103680. Its totient is φ = 697107409920.

The previous prime is 2110220201987. The next prime is 2110220202029. The reversal of 2110220202020 is 202020220112.

It is a super-2 number, since 2×21102202020202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2110220201986 and 2110220202004.

It is not an unprimeable number, because it can be changed into a prime (2110220202029) 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, 67769 + ... + 2055488.

It is an arithmetic number, because the mean of its divisors is an integer number (54695126080).

Almost surely, 22110220202020 is an apocalyptic number.

2110220202020 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 2110220202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625366051840).

2110220202020 is an abundant number, since it is smaller than the sum of its proper divisors (3140511901660).

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

2110220202020 is a wasteful number, since it uses less digits than its factorization.

2110220202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123533 (or 2123531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2110220202020 its reverse (202020220112), we get a palindrome (2312240422132).

The spelling of 2110220202020 in words is "two trillion, one hundred ten billion, two hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 229 310 434 458 620 868 916 1085 1145 1603 2170 2290 3206 4340 4580 6412 7099 8015 14198 16030 28396 32060 35495 49693 70990 99386 141980 198772 248465 496930 993860 2123257 4246514 8493028 10616285 14862799 21232570 29725598 42465140 59451196 65820967 74313995 131641934 148627990 263283868 297255980 329104835 460746769 486225853 658209670 921493538 972451706 1316419340 1842987076 1944903412 2303733845 2431129265 3403580971 4607467690 4862258530 6807161942 9214935380 9724517060 13614323884 15073001443 17017904855 30146002886 34035809710 60292005772 68071619420 75365007215 105511010101 150730014430 211022020202 301460028860 422044040404 527555050505 1055110101010 2110220202020