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1100120112 = 2432713372269
BaseRepresentation
bin100000110010010…
…1000000000110000
32211200001220002100
41001210220000300
54223112320422
6301055220400
736155603160
oct10144500060
92750056070
101100120112
11514a97583
12268517700
13146bc3560
14a61705a0
15668ab7ac
hex41928030

1100120112 has 240 divisors, whose sum is σ = 3893431360. Its totient is φ = 282175488.

The previous prime is 1100120093. The next prime is 1100120113. The reversal of 1100120112 is 2110210011.

It is a happy number.

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 = 1100120094 and 1100120103.

It is not an unprimeable number, because it can be changed into a prime (1100120113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483714 + ... + 485982.

Almost surely, 21100120112 is an apocalyptic number.

1100120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946715680).

1100120112 is an abundant number, since it is smaller than the sum of its proper divisors (2793311248).

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

1100120112 is a wasteful number, since it uses less digits than its factorization.

1100120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100120112 is about 33168.0586106573. The cubic root of 1100120112 is about 1032.3176865826.

Adding to 1100120112 its reverse (2110210011), we get a palindrome (3210330123).

It can be divided in two parts, 11001 and 20112, that added together give a palindrome (31113).

The spelling of 1100120112 in words is "one billion, one hundred million, one hundred twenty thousand, one hundred twelve".