Search a number
-
+
11212020102020 = 22510146112040141
BaseRepresentation
bin1010001100101000000001…
…1110011011001110000100
31110200212011221212210221112
42203022000132123032010
52432144204121231040
635502421514104152
72235020211256463
oct243120036331604
943625157783845
1011212020102020
113632a9a061721
121310b6aa1b058
1363439aac571a
142aa943bc89da
151469b5020365
hexa328079b384

11212020102020 has 48 divisors (see below), whose sum is σ = 23829945367536. Its totient is φ = 4430771520000.

The previous prime is 11212020102001. The next prime is 11212020102053. The reversal of 11212020102020 is 2020102021211.

It can be written as a sum of positive squares in 8 ways, for example, as 1829916329536 + 9382103772484 = 1352744^2 + 3063022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11212020101986 and 11212020102004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5088851 + ... + 6951290.

It is an arithmetic number, because the mean of its divisors is an integer number (496457195157).

Almost surely, 211212020102020 is an apocalyptic number.

11212020102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212020102020 is an abundant number, since it is smaller than the sum of its proper divisors (12617925265516).

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

11212020102020 is a wasteful number, since it uses less digits than its factorization.

11212020102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040712 (or 12040710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11212020102020 its reverse (2020102021211), we get a palindrome (13232122123231).

The spelling of 11212020102020 in words is "eleven trillion, two hundred twelve billion, twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 461 505 922 1010 1844 2020 2305 4610 9220 46561 93122 186244 232805 465610 931220 12040141 24080282 48160564 60200705 120401410 240802820 1216054241 2432108482 4864216964 5550505001 6080271205 11101010002 12160542410 22202020004 24321084820 27752525005 55505050010 111010100020 560601005101 1121202010202 2242404020404 2803005025505 5606010051010 11212020102020