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11020211210000 = 24541949565429
BaseRepresentation
bin1010000001011101011111…
…0001100100011100010000
31110000112002110121112012202
42200113113301210130100
52421023343032210000
635234340511542332
72215120051503656
oct240272761443420
943015073545182
1011020211210000
113569710a28153
12129b95a52a9a8
1361c2807ac505
142a154991add6
151419dac45dd5
hexa05d7c64710

11020211210000 has 100 divisors (see below), whose sum is σ = 26694770173500. Its totient is φ = 4405814976000.

The previous prime is 11020211209999. The next prime is 11020211210003. The reversal of 11020211210000 is 1211202011.

It can be written as a sum of positive squares in 10 ways, for example, as 4018725864976 + 7001485345024 = 2004676^2 + 2646032^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×110202112100002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11020211210003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19207286 + ... + 19772714.

It is an arithmetic number, because the mean of its divisors is an integer number (266947701735).

Almost surely, 211020211210000 is an apocalyptic number.

11020211210000 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 11020211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347385086750).

11020211210000 is an abundant number, since it is smaller than the sum of its proper divisors (15674558963500).

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

11020211210000 is an equidigital number, since it uses as much as digits as its factorization.

11020211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567406 (or 567385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11020211210000 its reverse (1211202011), we get a palindrome (11021422412011).

The spelling of 11020211210000 in words is "eleven trillion, twenty billion, two hundred eleven million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1949 2000 2500 3898 5000 7796 9745 10000 15592 19490 31184 38980 48725 77960 97450 155920 194900 243625 389800 487250 565429 779600 974500 1130858 1218125 1949000 2261716 2436250 2827145 3898000 4523432 4872500 5654290 9046864 9745000 11308580 14135725 19490000 22617160 28271450 45234320 56542900 70678625 113085800 141357250 226171600 282714500 353393125 565429000 706786250 1102021121 1130858000 1413572500 2204042242 2827145000 4408084484 5510105605 5654290000 8816168968 11020211210 17632337936 22040422420 27550528025 44080844840 55101056050 88161689680 110202112100 137752640125 220404224200 275505280250 440808448400 551010560500 688763200625 1102021121000 1377526401250 2204042242000 2755052802500 5510105605000 11020211210000