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11101102100000 = 25551110091911
BaseRepresentation
bin1010000110001010110100…
…1111110100111000100000
31110022020212220002111112122
42201202231033310320200
52423340024114200000
635335435332243412
72224012441642343
oct241425517647040
943266786074478
1011101102100000
11359aa50804060
1212b3574770568
13626aa236b273
142a5420b2045a
15143b72542085
hexa18ad3f4e20

11101102100000 has 144 divisors (see below), whose sum is σ = 29800770253632. Its totient is φ = 4036764000000.

The previous prime is 11101102099991. The next prime is 11101102100003. The reversal of 11101102100000 is 120110111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11101102100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3945956 + ... + 6145955.

It is an arithmetic number, because the mean of its divisors is an integer number (206949793428).

Almost surely, 211101102100000 is an apocalyptic number.

11101102100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101102100000 is an abundant number, since it is smaller than the sum of its proper divisors (18699668153632).

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

11101102100000 is an equidigital number, since it uses as much as digits as its factorization.

11101102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091957 (or 10091929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11101102100000 its reverse (120110111), we get a palindrome (11101222210111).

The spelling of 11101102100000 in words is "eleven trillion, one hundred one billion, one hundred two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 10091911 20183822 40367644 50459555 80735288 100919110 111011021 161470576 201838220 222022042 252297775 322941152 403676440 444044084 504595550 555055105 807352880 888088168 1009191100 1110110210 1261488875 1614705760 1776176336 2018382200 2220220420 2522977750 2775275525 3552352672 4036764400 4440440840 5045955500 5550551050 6307444375 8073528800 8880881680 10091911000 11101102100 12614888750 13876377625 17761763360 20183822000 22202204200 25229777500 27752755250 31537221875 40367644000 44404408400 50459555000 55505510500 63074443750 69381888125 88808816800 100919110000 111011021000 126148887500 138763776250 201838220000 222022042000 252297775000 277527552500 346909440625 444044084000 504595550000 555055105000 693818881250 1009191100000 1110110210000 1387637762500 2220220420000 2775275525000 5550551050000 11101102100000