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11101010085 = 32511279131197
BaseRepresentation
bin10100101011010101…
…11111100010100101
31001122122111202000200
422111222333202211
5140213324310320
65033313101113
7542044012614
oct122552774245
931578452020
1011101010085
11478725a200
122199857799
13107bb32b29
1477448587b
1544e893290
hex295abf8a5

11101010085 has 144 divisors (see below), whose sum is σ = 21690789120. Its totient is φ = 5246841600.

The previous prime is 11101010083. The next prime is 11101010087. The reversal of 11101010085 is 58001010111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11101010083) and next prime (11101010087).

It is not a de Polignac number, because 11101010085 - 21 = 11101010083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101010083) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 56350207 + ... + 56350403.

It is an arithmetic number, because the mean of its divisors is an integer number (150630480).

Almost surely, 211101010085 is an apocalyptic number.

11101010085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11101010085 is a deficient number, since it is larger than the sum of its proper divisors (10589779035).

11101010085 is a wasteful number, since it uses less digits than its factorization.

11101010085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 11101010085 its reverse (58001010111), we get a palindrome (69102020196).

The spelling of 11101010085 in words is "eleven billion, one hundred one million, ten thousand, eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 79 99 121 131 165 197 237 363 393 395 495 591 605 655 711 869 985 1089 1179 1185 1441 1773 1815 1965 2167 2607 2955 3555 4323 4345 5445 5895 6501 7205 7821 8865 9559 10349 10835 12969 13035 15563 15851 19503 21615 23837 25807 28677 31047 32505 39105 46689 47553 47795 51745 64845 71511 77421 77815 79255 86031 93141 97515 113839 119185 129035 140067 142659 143385 155235 171193 214533 232263 233445 237765 283877 341517 357555 387105 430155 465705 513579 569195 700335 713295 851631 855965 1024551 1072665 1161315 1252229 1419385 1540737 1707585 1883123 2038753 2554893 2567895 3122647 3756687 4258155 5122755 5649369 6116259 6261145 7703685 9367941 9415615 10193765 11270061 12774465 15613235 16948107 18348777 18783435 22426283 28103823 28246845 30581295 46839705 56350305 67278849 84740535 91743885 112131415 140519115 201836547 246689113 336394245 740067339 1009182735 1233445565 2220202017 3700336695 11101010085