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11000032032 = 2531110416697
BaseRepresentation
bin10100011111010011…
…10010101100100000
31001101121111112011210
422033221302230200
5140012002011112
65015304510120
7536406505143
oct121751625440
931347445153
1011000032032
11473525a970
12216ba7b340
131063c390c2
14764cbc05a
15445a98b3c
hex28fa72b20

11000032032 has 48 divisors (see below), whose sum is σ = 31500094752. Its totient is φ = 3333342720.

The previous prime is 11000032013. The next prime is 11000032037. The reversal of 11000032032 is 23023000011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 11000031999 and 11000032017.

It is not an unprimeable number, because it can be changed into a prime (11000032037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5207293 + ... + 5209404.

It is an arithmetic number, because the mean of its divisors is an integer number (656251974).

Almost surely, 211000032032 is an apocalyptic number.

11000032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000032032 is an abundant number, since it is smaller than the sum of its proper divisors (20500062720).

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

11000032032 is a wasteful number, since it uses less digits than its factorization.

11000032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10416721 (or 10416713 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11000032032 its reverse (23023000011), we get a palindrome (34023032043).

The spelling of 11000032032 in words is "eleven billion, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10416697 20833394 31250091 41666788 62500182 83333576 114583667 125000364 166667152 229167334 250000728 333334304 343751001 458334668 500001456 687502002 916669336 1000002912 1375004004 1833338672 2750008008 3666677344 5500016016 11000032032