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11044312000 = 26538316633
BaseRepresentation
bin10100100100100101…
…01101001111000000
31001111200211011212121
422102102231033000
5140104320441000
65023525534024
7540455050231
oct122222551700
931450734777
1011044312000
114758254087
122182874314
131070170a77
1476ab27088
154498e3b1a
hex2924ad3c0

11044312000 has 112 divisors (see below), whose sum is σ = 27682435872. Its totient is φ = 4364236800.

The previous prime is 11044311979. The next prime is 11044312009. The reversal of 11044312000 is 21344011.

It is a super-3 number, since 3×110443120003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11044312009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655684 + ... + 672316.

It is an arithmetic number, because the mean of its divisors is an integer number (247164606).

Almost surely, 211044312000 is an apocalyptic number.

11044312000 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 11044312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841217936).

11044312000 is an abundant number, since it is smaller than the sum of its proper divisors (16638123872).

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

11044312000 is an equidigital number, since it uses as much as digits as its factorization.

11044312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16743 (or 16723 counting only the distinct ones).

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

Adding to 11044312000 its reverse (21344011), we get a palindrome (11065656011).

The spelling of 11044312000 in words is "eleven billion, forty-four million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 160 166 200 250 320 332 400 415 500 664 800 830 1000 1328 1600 1660 2000 2075 2656 3320 4000 4150 5312 6640 8000 8300 10375 13280 16600 16633 20750 26560 33200 33266 41500 66400 66532 83000 83165 132800 133064 166000 166330 266128 332000 332660 415825 532256 664000 665320 831650 1064512 1330640 1380539 1663300 2079125 2661280 2761078 3326600 4158250 5322560 5522156 6653200 6902695 8316500 11044312 13306400 13805390 16633000 22088624 26612800 27610780 33266000 34513475 44177248 55221560 66532000 69026950 88354496 110443120 133064000 138053900 172567375 220886240 276107800 345134750 441772480 552215600 690269500 1104431200 1380539000 2208862400 2761078000 5522156000 11044312000