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11120222100 = 223521316211759
BaseRepresentation
bin10100101101101000…
…10001111110010100
31001200222122210221210
422112310101332110
5140233234101400
65035240541420
7542366220411
oct122664217624
931628583853
1011120222100
1147970914a9
1221a4181870
131082acb6a0
14776c47108
154513da950
hex296d11f94

11120222100 has 144 divisors (see below), whose sum is σ = 34690557440. Its totient is φ = 2734041600.

The previous prime is 11120222081. The next prime is 11120222111. The reversal of 11120222100 is 122202111.

11120222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6321021 + ... + 6322779.

Almost surely, 211120222100 is an apocalyptic number.

11120222100 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 11120222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345278720).

11120222100 is an abundant number, since it is smaller than the sum of its proper divisors (23570335340).

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

11120222100 is a wasteful number, since it uses less digits than its factorization.

11120222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11120222100 its reverse (122202111), we get a palindrome (11242424211).

The spelling of 11120222100 in words is "eleven billion, one hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1621 1759 1950 3242 3518 3900 4863 5277 6484 7036 8105 8795 9726 10554 16210 17590 19452 21073 21108 22867 24315 26385 32420 35180 40525 42146 43975 45734 48630 52770 63219 68601 81050 84292 87950 91468 97260 105365 105540 114335 121575 126438 131925 137202 162100 175900 210730 228670 243150 252876 263850 274404 316095 343005 421460 457340 486300 526825 527700 571675 632190 686010 1053650 1143350 1264380 1372020 1580475 1715025 2107300 2286700 2851339 3160950 3430050 5702678 6321900 6860100 8554017 11405356 14256695 17108034 28513390 34216068 37067407 42770085 57026780 71283475 74134814 85540170 111202221 142566950 148269628 171080340 185337035 213850425 222404442 285133900 370674070 427700850 444808884 556011105 741348140 855401700 926685175 1112022210 1853370350 2224044420 2780055525 3706740700 5560111050 11120222100