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11001112001 = 1121016071483
BaseRepresentation
bin10100011111011011…
…11010010111000001
31001101200112101121122
422033231322113001
5140012241041001
65015344002025
7536421623555
oct121755722701
931350471548
1011001112001
114735928300
122170300315
131064226839
147650bd865
15445c0db1b
hex28fb7a5c1

11001112001 has 24 divisors (see below), whose sum is σ = 12240221952. Its totient is φ = 9879012000.

The previous prime is 11001111973. The next prime is 11001112007. The reversal of 11001112001 is 10021110011.

It is a happy number.

It is not a de Polignac number, because 11001112001 - 230 = 9927370177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11001112001.

It is not an unprimeable number, because it can be changed into a prime (11001112007) 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 23 ways as a sum of consecutive naturals, for example, 7417406 + ... + 7418888.

It is an arithmetic number, because the mean of its divisors is an integer number (510009248).

Almost surely, 211001112001 is an apocalyptic number.

11001112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001112001 is a deficient number, since it is larger than the sum of its proper divisors (1239109951).

11001112001 is a wasteful number, since it uses less digits than its factorization.

11001112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11001112001 its reverse (10021110011), we get a palindrome (21022222012).

The spelling of 11001112001 in words is "eleven billion, one million, one hundred twelve thousand, one".

Divisors: 1 11 101 121 607 1111 1483 6677 12221 16313 61307 73447 149783 179443 674377 900181 1647613 7418147 9901991 18123743 90918281 108921901 1000101091 11001112001