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11210212020020 = 22513532333491473
BaseRepresentation
bin1010001100100001010010…
…1101001000111100110100
31110200200111221122201201112
42203020110231020330310
52432132003234120040
635501522244414152
72234624334651416
oct243102455107464
943620457581645
1011210212020020
113632251487982
1213107453a7358
13634170335b10
142aa811a0a9b6
1514690b41c365
hexa3214b48f34

11210212020020 has 96 divisors (see below), whose sum is σ = 25941540092832. Its totient is φ = 4043627347968.

The previous prime is 11210212019977. The next prime is 11210212020071. The reversal of 11210212020020 is 2002021201211.

It can be written as a sum of positive squares in 16 ways, for example, as 5592449306896 + 5617762713124 = 2364836^2 + 2370182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11210212019977 and 11210212020004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465004 + ... + 4956476.

It is an arithmetic number, because the mean of its divisors is an integer number (270224375967).

Almost surely, 211210212020020 is an apocalyptic number.

11210212020020 is a gapful number since it is divisible by the number (10) 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 11210212020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970770046416).

11210212020020 is an abundant number, since it is smaller than the sum of its proper divisors (14731328072812).

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

11210212020020 is a wasteful number, since it uses less digits than its factorization.

11210212020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491781 (or 3491779 counting only the distinct ones).

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

Adding to 11210212020020 its reverse (2002021201211), we get a palindrome (13212233221231).

The spelling of 11210212020020 in words is "eleven trillion, two hundred ten billion, two hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 233 260 265 466 530 689 932 1060 1165 1378 2330 2756 3029 3445 4660 6058 6890 12116 12349 13780 15145 24698 30290 49396 60580 61745 123490 160537 246980 321074 642148 802685 1605370 3210740 3491473 6982946 13965892 17457365 34914730 45389149 69829460 90778298 181556596 185048069 226945745 370096138 453891490 740192276 813513209 907782980 925240345 1627026418 1850480690 2405624897 3254052836 3700961380 4067566045 4811249794 8135132090 9622499588 10575671717 12028124485 16270264180 21151343434 24056248970 42302686868 43116200077 48112497940 52878358585 86232400154 105756717170 172464800308 211513434340 215581000385 431162000770 560510601001 862324001540 1121021202002 2242042404004 2802553005005 5605106010010 11210212020020