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11000231244 = 223460755933
BaseRepresentation
bin10100011111010101…
…00011010101001100
31001101121212122110000
422033222203111030
5140012024344434
65015313044300
7536411265012
oct121752432514
931347778400
1011000231244
114735386602
12216bb56690
131063ca8992
14764d308b2
15445ad7b99
hex28faa354c

11000231244 has 60 divisors (see below), whose sum is σ = 28804667584. Its totient is φ = 3660637536.

The previous prime is 11000231213. The next prime is 11000231267. The reversal of 11000231244 is 44213200011.

11000231244 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 (18).

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 19 ways as a sum of consecutive naturals, for example, 168702 + ... + 224634.

Almost surely, 211000231244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000231244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14402333792).

11000231244 is an abundant number, since it is smaller than the sum of its proper divisors (17804436340).

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

11000231244 is a wasteful number, since it uses less digits than its factorization.

11000231244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56556 (or 56545 counting only the distinct ones).

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

Adding to 11000231244 its reverse (44213200011), we get a palindrome (55213431255).

It can be divided in two parts, 110002 and 31244, that added together give a triangular number (141246 = T531).

The spelling of 11000231244 in words is "eleven billion, two hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 607 1214 1821 2428 3642 5463 7284 10926 16389 21852 32778 49167 55933 65556 98334 111866 167799 196668 223732 335598 503397 671196 1006794 1510191 2013588 3020382 4530573 6040764 9061146 18122292 33951331 67902662 101853993 135805324 203707986 305561979 407415972 611123958 916685937 1222247916 1833371874 2750057811 3666743748 5500115622 11000231244