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11034140200 = 235255170701
BaseRepresentation
bin10100100011010111…
…11001111000101000
31001110222200101210021
422101223321320220
5140044214441300
65022523530224
7540302433646
oct122153717050
931428611707
1011034140200
114752536936
12217b389974
13106b01bc55
1476963a196
15448a84d1a
hex291af9e28

11034140200 has 24 divisors (see below), whose sum is σ = 25654376430. Its totient is φ = 4413656000.

The previous prime is 11034140189. The next prime is 11034140203. The reversal of 11034140200 is 204143011.

11034140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5573816964 + 5460323236 = 74658^2 + 73894^2 .

It is not an unprimeable number, because it can be changed into a prime (11034140203) 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 5 ways as a sum of consecutive naturals, for example, 27585151 + ... + 27585550.

Almost surely, 211034140200 is an apocalyptic number.

11034140200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034140200 is an abundant number, since it is smaller than the sum of its proper divisors (14620236230).

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

11034140200 is a wasteful number, since it uses less digits than its factorization.

11034140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55170717 (or 55170708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11034140200 its reverse (204143011), we get a palindrome (11238283211).

The spelling of 11034140200 in words is "eleven billion, thirty-four million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 55170701 110341402 220682804 275853505 441365608 551707010 1103414020 1379267525 2206828040 2758535050 5517070100 11034140200