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1100123112 = 233114167133
BaseRepresentation
bin100000110010010…
…1000101111101000
32211200002001012110
41001210220233220
54223112414422
6301055242320
736155615004
oct10144505750
92750061173
101100123112
11514a99860
122685193a0
13146bc4a2a
14a6171704
15668ac60c
hex41928be8

1100123112 has 32 divisors (see below), whose sum is σ = 3000336480. Its totient is φ = 333370560.

The previous prime is 1100123053. The next prime is 1100123117. The reversal of 1100123112 is 2113210011.

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

It is not an unprimeable number, because it can be changed into a prime (1100123117) 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, 2083303 + ... + 2083830.

It is an arithmetic number, because the mean of its divisors is an integer number (93760515).

Almost surely, 21100123112 is an apocalyptic number.

1100123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100123112 is an abundant number, since it is smaller than the sum of its proper divisors (1900213368).

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

1100123112 is a wasteful number, since it uses less digits than its factorization.

1100123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167153 (or 4167149 counting only the distinct ones).

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

The square root of 1100123112 is about 33168.1038348592. The cubic root of 1100123112 is about 1032.3186249499.

Adding to 1100123112 its reverse (2113210011), we get a palindrome (3213333123).

The spelling of 1100123112 in words is "one billion, one hundred million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4167133 8334266 12501399 16668532 25002798 33337064 45838463 50005596 91676926 100011192 137515389 183353852 275030778 366707704 550061556 1100123112