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1100234016 = 25357172941
BaseRepresentation
bin100000110010100…
…0011110100100000
32211200021200100000
41001211003310200
54223124442031
6301101500000
736156556230
oct10145036440
92750250300
101100234016
11515065112
12268571600
13146c3335b
14a619dcc0
15668d03e6
hex41943d20

1100234016 has 576 divisors, whose sum is σ = 4160782080. Its totient is φ = 278691840.

The previous prime is 1100234011. The next prime is 1100234039. The reversal of 1100234016 is 6104320011.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1100234016.

It is not an unprimeable number, because it can be changed into a prime (1100234011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26834956 + ... + 26834996.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 21100234016 is an apocalyptic number.

1100234016 is a gapful number since it is divisible by the number (16) 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 1100234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080391040).

1100234016 is an abundant number, since it is smaller than the sum of its proper divisors (3060548064).

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

1100234016 is a wasteful number, since it uses less digits than its factorization.

1100234016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1100234016 is about 33169.7756398804. The cubic root of 1100234016 is about 1032.3533133154.

Adding to 1100234016 its reverse (6104320011), we get a palindrome (7204554027).

The spelling of 1100234016 in words is "one billion, one hundred million, two hundred thirty-four thousand, sixteen".