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11441133200 = 245274086119
BaseRepresentation
bin10101010011111000…
…11101011010010000
31002112100111210020002
422221330131122100
5141412412230300
65131143105132
7553344012320
oct125174353220
932470453202
1011441133200
114941248792
1222737421a8
13110443b503
147a7701280
1546e67a5d5
hex2a9f1d690

11441133200 has 60 divisors (see below), whose sum is σ = 31414090560. Its totient is φ = 3922673280.

The previous prime is 11441133169. The next prime is 11441133217. The reversal of 11441133200 is 233114411.

11441133200 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 (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2040260 + ... + 2045859.

It is an arithmetic number, because the mean of its divisors is an integer number (523568176).

Almost surely, 211441133200 is an apocalyptic number.

11441133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441133200 is an abundant number, since it is smaller than the sum of its proper divisors (19972957360).

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

11441133200 is a wasteful number, since it uses less digits than its factorization.

11441133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086144 (or 4086133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11441133200 its reverse (233114411), we get a palindrome (11674247611).

The spelling of 11441133200 in words is "eleven billion, four hundred forty-one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4086119 8172238 16344476 20430595 28602833 32688952 40861190 57205666 65377904 81722380 102152975 114411332 143014165 163444760 204305950 228822664 286028330 326889520 408611900 457645328 572056660 715070825 817223800 1144113320 1430141650 1634447600 2288226640 2860283300 5720566600 11441133200