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11011011000111 = 3261547132727631
BaseRepresentation
bin1010000000111011001101…
…1001100011011100101111
31102222122100021210102212100
42200032303121203130233
52420401022304000421
635230215535310143
72214343055142423
oct240166331433457
942878307712770
1011011011000111
11356581a720301
12129a01137b353
1361b445700535
142a0d15aaab83
1514164d1bcc26
hexa03b366372f

11011011000111 has 48 divisors (see below), whose sum is σ = 16207871899648. Its totient is φ = 7201443412800.

The previous prime is 11011011000091. The next prime is 11011011000113. The reversal of 11011011000111 is 11100011011011.

It is not a de Polignac number, because 11011011000111 - 27 = 11011010999983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011011000093 and 11011011000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011011000113) by changing a digit.

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, 398488266 + ... + 398515896.

Almost surely, 211011011000111 is an apocalyptic number.

11011011000111 is a deficient number, since it is larger than the sum of its proper divisors (5196860899537).

11011011000111 is a wasteful number, since it uses less digits than its factorization.

11011011000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29572 (or 29569 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11011011000111 its reverse (11100011011011), we get a palindrome (22111022011122).

The spelling of 11011011000111 in words is "eleven trillion, eleven billion, eleven million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 61 183 547 549 1327 1641 3981 4923 11943 27631 33367 80947 82893 100101 242841 248679 300303 725869 728523 1685491 2177607 5056473 6532821 15114157 15169419 36666337 44278009 45342471 109999011 132834027 136027413 329997033 398502081 921963577 2236646557 2765890731 6709939671 8297672193 20056486339 20129819013 60169459017 180508377051 1223445666679 3670337000037 11011011000111