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11320212223100 = 225211137250330011
BaseRepresentation
bin1010010010111011000100…
…1110100111010001111100
31111002012110001110000200002
42210232301032213101330
52440432243312114400
640024233402453432
72245600261156064
oct244566116472174
944065401400602
1011320212223100
113674969756620
121329b24204278
136416508a4291
142b1c88c443a4
151496e8554ed5
hexa4bb13a747c

11320212223100 has 144 divisors (see below), whose sum is σ = 27005320048896. Its totient is φ = 4084625088000.

The previous prime is 11320212223087. The next prime is 11320212223123. The reversal of 11320212223100 is 132221202311.

It is a super-2 number, since 2×113202122231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377187095 + ... + 377217105.

It is an arithmetic number, because the mean of its divisors is an integer number (187536944784).

Almost surely, 211320212223100 is an apocalyptic number.

11320212223100 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 11320212223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502660024448).

11320212223100 is an abundant number, since it is smaller than the sum of its proper divisors (15685107825796).

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

11320212223100 is a wasteful number, since it uses less digits than its factorization.

11320212223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32676 (or 32669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11320212223100 its reverse (132221202311), we get a palindrome (11452433425411).

The spelling of 11320212223100 in words is "eleven trillion, three hundred twenty billion, two hundred twelve million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 137 220 274 275 548 550 685 1100 1370 1507 2503 2740 3014 3425 5006 6028 6850 7535 10012 12515 13700 15070 25030 27533 30011 30140 37675 50060 55066 60022 62575 75350 110132 120044 125150 137665 150055 150700 250300 275330 300110 330121 342911 550660 600220 660242 685822 688325 750275 1320484 1371644 1376650 1500550 1650605 1714555 2753300 3001100 3301210 3429110 3772021 4111507 6602420 6858220 7544042 8223014 8253025 8572775 15088084 16446028 16506050 17145550 18860105 20557535 33012100 34291100 37720210 41115070 45226577 75117533 75440420 82230140 90453154 94300525 102787675 150235066 180906308 188601050 205575350 226132885 300470132 375587665 377202100 411150700 452265770 751175330 826292863 904531540 1130664425 1502350660 1652585726 1877938325 2261328850 3305171452 3755876650 4131464315 4522657700 7511753300 8262928630 10291102021 16525857260 20582204042 20657321575 41164408084 41314643150 51455510105 82629286300 102911020210 113202122231 205822040420 226404244462 257277550525 452808488924 514555101050 566010611155 1029110202100 1132021222310 2264042444620 2830053055775 5660106111550 11320212223100