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1011011112 = 23334680607
BaseRepresentation
bin111100010000101…
…100111000101000
32121110101200112000
4330100230320220
54032304323422
6244153251000
734024311156
oct7420547050
92543350460
101011011112
11479764681
12242703a60
131315c4037
14983b63d6
155db58cac
hex3c42ce28

1011011112 has 32 divisors (see below), whose sum is σ = 2808364800. Its totient is φ = 337003632.

The previous prime is 1011011107. The next prime is 1011011119. The reversal of 1011011112 is 2111101101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011011094 and 1011011103.

It is not an unprimeable number, because it can be changed into a prime (1011011119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2340088 + ... + 2340519.

It is an arithmetic number, because the mean of its divisors is an integer number (87761400).

Almost surely, 21011011112 is an apocalyptic number.

1011011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011011112 is an abundant number, since it is smaller than the sum of its proper divisors (1797353688).

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

1011011112 is a wasteful number, since it uses less digits than its factorization.

1011011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680622 (or 4680612 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1011011112 is about 31796.4009284070. The cubic root of 1011011112 is about 1003.6569808555.

Adding to 1011011112 its reverse (2111101101), we get a palindrome (3122112213).

The spelling of 1011011112 in words is "one billion, eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4680607 9361214 14041821 18722428 28083642 37444856 42125463 56167284 84250926 112334568 126376389 168501852 252752778 337003704 505505556 1011011112