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11212211320300 = 2252714433564751
BaseRepresentation
bin1010001100101000101111…
…0111110111010111101100
31110200212200021200201010001
42203022023313313113230
52432200102044222200
635502452504354044
72235025022510254
oct243121367672754
943625607621101
1011212211320300
113633087a96861
121311002a75924
136343cb5c6833
142aa961362964
151469c6be276a
hexa328bdf75ec

11212211320300 has 72 divisors (see below), whose sum is σ = 24728884250112. Its totient is φ = 4411734600000.

The previous prime is 11212211320249. The next prime is 11212211320361. The reversal of 11212211320300 is 302311221211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362925 + ... + 4927675.

It is an arithmetic number, because the mean of its divisors is an integer number (343456725696).

Almost surely, 211212211320300 is an apocalyptic number.

11212211320300 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 11212211320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364442125056).

11212211320300 is an abundant number, since it is smaller than the sum of its proper divisors (13516672929812).

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

11212211320300 is a wasteful number, since it uses less digits than its factorization.

11212211320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565279 (or 3565272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11212211320300 its reverse (302311221211), we get a palindrome (11514522541511).

The spelling of 11212211320300 in words is "eleven trillion, two hundred twelve billion, two hundred eleven million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 443 710 886 1420 1772 1775 2215 3550 4430 7100 8860 11075 22150 31453 44300 62906 125812 157265 314530 629060 786325 1572650 3145300 3564751 7129502 14259004 17823755 35647510 71295020 89118775 178237550 253097321 356475100 506194642 1012389284 1265486605 1579184693 2530973210 3158369386 5061946420 6316738772 6327433025 7895923465 12654866050 15791846930 25309732100 31583693860 39479617325 78959234650 112122113203 157918469300 224244226406 448488452812 560610566015 1121221132030 2242442264060 2803052830075 5606105660150 11212211320300