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11001112032 = 253114594917
BaseRepresentation
bin10100011111011011…
…11010010111100000
31001101200112101122210
422033231322113200
5140012241041112
65015344002120
7536421623631
oct121755722740
931350471583
1011001112032
114735928329
122170300340
131064226861
147650bd888
15445c0db3c
hex28fb7a5e0

11001112032 has 24 divisors (see below), whose sum is σ = 28877919336. Its totient is φ = 3667037312.

The previous prime is 11001112027. The next prime is 11001112033. The reversal of 11001112032 is 23021110011.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11001111999 and 11001112017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001112033) 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 3 ways as a sum of consecutive naturals, for example, 57297363 + ... + 57297554.

It is an arithmetic number, because the mean of its divisors is an integer number (1203246639).

Almost surely, 211001112032 is an apocalyptic number.

11001112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001112032 is an abundant number, since it is smaller than the sum of its proper divisors (17876807304).

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

11001112032 is a wasteful number, since it uses less digits than its factorization.

11001112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114594930 (or 114594922 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11001112032 its reverse (23021110011), we get a palindrome (34022222043).

The spelling of 11001112032 in words is "eleven billion, one million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 114594917 229189834 343784751 458379668 687569502 916759336 1375139004 1833518672 2750278008 3667037344 5500556016 11001112032