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1100033424 = 243271923023
BaseRepresentation
bin100000110010001…
…0010110110010000
32211122220111011200
41001210102312100
54223102032144
6301053311200
736155062350
oct10144226620
92748814150
101100033424
11514a38436
12268495500
13146b92c69
14a614ab60
1566890c69
hex41912d90

1100033424 has 180 divisors, whose sum is σ = 3714512256. Its totient is φ = 297654912.

The previous prime is 1100033413. The next prime is 1100033437. The reversal of 1100033424 is 4243300011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100033397 and 1100033406.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 362377 + ... + 365399.

Almost surely, 21100033424 is an apocalyptic number.

1100033424 is a gapful number since it is divisible by the number (14) 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 1100033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857256128).

1100033424 is an abundant number, since it is smaller than the sum of its proper divisors (2614478832).

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

1100033424 is a wasteful number, since it uses less digits than its factorization.

1100033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1100033424 is about 33166.7517854854. The cubic root of 1100033424 is about 1032.2905707840.

Adding to 1100033424 its reverse (4243300011), we get a palindrome (5343333435).

The spelling of 1100033424 in words is "one billion, one hundred million, thirty-three thousand, four hundred twenty-four".