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11101101100012 = 227111916311637887
BaseRepresentation
bin1010000110001010110100…
…1100000000101111101100
31110022020212211012200211001
42201202231030000233230
52423340023340200022
635335435255010044
72224012430306050
oct241425514005754
943266784180731
1011101101100012
11359aa50190820
1212b3574369924
13626aa20ab061
142a542093dc60
15143b723e5b27
hexa18ad300bec

11101101100012 has 96 divisors (see below), whose sum is σ = 25651767214080. Its totient is φ = 4072329069120.

The previous prime is 11101101099947. The next prime is 11101101100043. The reversal of 11101101100012 is 21000110110111.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4865068 + ... + 6772819.

It is an arithmetic number, because the mean of its divisors is an integer number (267205908480).

Almost surely, 211101101100012 is an apocalyptic number.

It is an amenable number.

11101101100012 is an abundant number, since it is smaller than the sum of its proper divisors (14550666114068).

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

11101101100012 is a wasteful number, since it uses less digits than its factorization.

11101101100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638091 (or 11638089 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11101101100012 its reverse (21000110110111), we get a palindrome (32101211210123).

It can be divided in two parts, 1110110 and 1100012, that added together give a palindrome (2210122).

The spelling of 11101101100012 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred thousand, twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 163 209 266 308 326 418 532 652 836 1141 1463 1793 2282 2926 3097 3586 4564 5852 6194 7172 12388 12551 21679 25102 34067 43358 50204 68134 86716 136268 238469 476938 953876 11637887 23275774 46551548 81465209 128016757 162930418 221119853 256033514 325860836 442239706 512067028 884479412 896117299 1547838971 1792234598 1896975581 2432318383 3095677942 3584469196 3793951162 4864636766 6191355884 7587902324 9729273532 13278829067 17026228681 20866731391 26557658134 34052457362 36042536039 41733462782 53115316268 68104914724 72085072078 83466925564 144170144156 146067119737 252297752273 292134239474 396467896429 504595504546 584268478948 792935792858 1009191009092 1585871585716 2775275275003 5550550550006 11101101100012