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11034443420 = 225711131929009
BaseRepresentation
bin10100100011011010…
…00011111010011100
31001111000020210201122
422101231003322130
5140044304142140
65022534230112
7540305135660
oct122155037234
931430223648
1011034443420
114752723730
12217b4b5338
13106b0c6c80
147696b88a0
15448ae4ab5
hex291b43e9c

11034443420 has 192 divisors, whose sum is σ = 32751129600. Its totient is φ = 3007549440.

The previous prime is 11034443393. The next prime is 11034443423. The reversal of 11034443420 is 2434443011.

11034443420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11034443420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034443423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365876 + ... + 394884.

It is an arithmetic number, because the mean of its divisors is an integer number (170578800).

Almost surely, 211034443420 is an apocalyptic number.

11034443420 is a gapful number since it is divisible by the number (10) 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 11034443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375564800).

11034443420 is an abundant number, since it is smaller than the sum of its proper divisors (21716686180).

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

11034443420 is a wasteful number, since it uses less digits than its factorization.

11034443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29068 (or 29066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 11034443420 its reverse (2434443011), we get a palindrome (13468886431).

It can be divided in two parts, 11034 and 443420, that added together give a palindrome (454454).

The spelling of 11034443420 in words is "eleven billion, thirty-four million, four hundred forty-three thousand, four hundred twenty".