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11234223104 = 210134331949
BaseRepresentation
bin10100111011001110…
…01010010000000000
31001222221011122221012
422131213022100000
5141001430114404
65054432220052
7545252215016
oct123547122000
931887148835
1011234223104
114845476105
12221639a628
1310a0604bc0
147880408b6
1545b408a6e
hex29d9ca400

11234223104 has 88 divisors (see below), whose sum is σ = 24253265400. Its totient is φ = 5170397184.

The previous prime is 11234223097. The next prime is 11234223107. The reversal of 11234223104 is 40132243211.

It can be written as a sum of positive squares in 4 ways, for example, as 217621504 + 11016601600 = 14752^2 + 104960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11234223104.

It is not an unprimeable number, because it can be changed into a prime (11234223107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5763122 + ... + 5765070.

Almost surely, 211234223104 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 11234223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126632700).

11234223104 is an abundant number, since it is smaller than the sum of its proper divisors (13019042296).

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

11234223104 is a wasteful number, since it uses less digits than its factorization.

11234223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 11234223104 its reverse (40132243211), we get a palindrome (51366466315).

The spelling of 11234223104 in words is "eleven billion, two hundred thirty-four million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 433 512 832 866 1024 1664 1732 1949 3328 3464 3898 5629 6656 6928 7796 11258 13312 13856 15592 22516 25337 27712 31184 45032 50674 55424 62368 90064 101348 110848 124736 180128 202696 221696 249472 360256 405392 443392 498944 720512 810784 843917 997888 1441024 1621568 1687834 1995776 2882048 3243136 3375668 5764096 6486272 6751336 10970921 12972544 13502672 21941842 25945088 27005344 43883684 54010688 87767368 108021376 175534736 216042752 351069472 432085504 702138944 864171008 1404277888 2808555776 5617111552 11234223104