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1105034112 = 273271383127
BaseRepresentation
bin100000111011101…
…0111101110000000
32212000022112211100
41001313113232000
54230342042422
6301352414400
736245430540
oct10167275600
92760275740
101105034112
11517843536
1226a0a7400
13147c24150
14a6a8d320
156702c7ac
hex41dd7b80

1105034112 has 384 divisors, whose sum is σ = 3992002560. Its totient is φ = 285659136.

The previous prime is 1105034111. The next prime is 1105034113. The reversal of 1105034112 is 2114305011.

1105034112 is a `hidden beast` number, since 110 + 503 + 41 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1105034111) and next prime (1105034113).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11050341122 = 2442200777367257088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105034111) 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, 8700993 + ... + 8701119.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 21105034112 is an apocalyptic number.

1105034112 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 1105034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996001280).

1105034112 is an abundant number, since it is smaller than the sum of its proper divisors (2886968448).

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

1105034112 is a wasteful number, since it uses less digits than its factorization.

1105034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1105034112 is about 33242.0533661806. The cubic root of 1105034112 is about 1033.8524507400.

Adding to 1105034112 its reverse (2114305011), we get a palindrome (3219339123).

The spelling of 1105034112 in words is "one billion, one hundred five million, thirty-four thousand, one hundred twelve".