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11044201320 = 2332587734981
BaseRepresentation
bin10100100100100100…
…10010001101101000
31001111200121120001100
422102102102031220
5140104303420240
65023523321400
7540454106445
oct122222221550
931450546040
1011044201320
114758188a09
122182820260
131070132589
1476aad89cc
154498c0e30
hex292492368

11044201320 has 96 divisors (see below), whose sum is σ = 35935609320. Its totient is φ = 2941678080.

The previous prime is 11044201309. The next prime is 11044201339. The reversal of 11044201320 is 2310244011.

11044201320 is a `hidden beast` number, since 110 + 4 + 420 + 132 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10405224036 + 638977284 = 102006^2 + 25278^2 .

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 = 11044201293 and 11044201302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298230 + ... + 333210.

Almost surely, 211044201320 is an apocalyptic number.

11044201320 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 11044201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967804660).

11044201320 is an abundant number, since it is smaller than the sum of its proper divisors (24891408000).

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

11044201320 is a wasteful number, since it uses less digits than its factorization.

11044201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35875 (or 35868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11044201320 its reverse (2310244011), we get a palindrome (13354445331).

The spelling of 11044201320 in words is "eleven billion, forty-four million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 877 1754 2631 3508 4385 5262 7016 7893 8770 10524 13155 15786 17540 21048 26310 31572 34981 35080 39465 52620 63144 69962 78930 104943 105240 139924 157860 174905 209886 279848 314829 315720 349810 419772 524715 629658 699620 839544 1049430 1259316 1399240 1574145 2098860 2518632 3148290 4197720 6296580 12593160 30678337 61356674 92035011 122713348 153391685 184070022 245426696 276105033 306783370 368140044 460175055 552210066 613566740 736280088 920350110 1104420132 1227133480 1380525165 1840700220 2208840264 2761050330 3681400440 5522100660 11044201320