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11001000985 = 51317127277283
BaseRepresentation
bin10100011111011010…
…11111010000011001
31001101200022202022221
422033231133100121
5140012224012420
65015341344041
7536420652112
oct121755372031
931350282287
1011001000985
114735861957
122170268021
1310641b8150
14765091209
15445bdacaa
hex28fb5f419

11001000985 has 64 divisors (see below), whose sum is σ = 15280054272. Its totient is φ = 7531646976.

The previous prime is 11001000953. The next prime is 11001001003. The reversal of 11001000985 is 58900010011.

It is a cyclic number.

It is not a de Polignac number, because 11001000985 - 25 = 11001000953 is a prime.

It is a Duffinian number.

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 63 ways as a sum of consecutive naturals, for example, 38872654 + ... + 38872936.

It is an arithmetic number, because the mean of its divisors is an integer number (238750848).

Almost surely, 211001000985 is an apocalyptic number.

It is an amenable number.

11001000985 is a deficient number, since it is larger than the sum of its proper divisors (4279053287).

11001000985 is a wasteful number, since it uses less digits than its factorization.

11001000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722.

The product of its (nonzero) digits is 360, while the sum is 25.

Adding to 11001000985 its reverse (58900010011), we get a palindrome (69901010996).

The spelling of 11001000985 in words is "eleven billion, one million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 13 17 65 85 127 221 277 283 635 1105 1385 1415 1651 2159 3601 3679 4709 4811 8255 10795 18005 18395 23545 24055 28067 35179 35941 61217 62543 78391 140335 175895 179705 306085 312715 391955 457327 467233 598043 610997 1019083 1332647 2286635 2336165 2990215 3054985 5095415 6663235 7774559 7942961 9955657 17324411 38872795 39714805 49778285 86622055 129423541 169246169 647117705 846230845 2200200197 11001000985