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11523310224 = 2432371147011
BaseRepresentation
bin10101011101101011…
…11100001010010000
31002202002010210220120
422232311330022100
5142044431411344
65143240310240
7555362343426
oct125665741220
932662123816
1011523310224
114983676588
122297172380
13111848177a
147b45b3116
154769ae219
hex2aed7c290

11523310224 has 80 divisors (see below), whose sum is σ = 31500555264. Its totient is φ = 3622326400.

The previous prime is 11523310219. The next prime is 11523310301. The reversal of 11523310224 is 42201332511.

11523310224 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 11523310194 and 11523310203.

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 15 ways as a sum of consecutive naturals, for example, 4879 + ... + 151889.

Almost surely, 211523310224 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 11523310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750277632).

11523310224 is an abundant number, since it is smaller than the sum of its proper divisors (19977245040).

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

11523310224 is a wasteful number, since it uses less digits than its factorization.

11523310224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147116 (or 147110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11523310224 its reverse (42201332511), we get a palindrome (53724642735).

The spelling of 11523310224 in words is "eleven billion, five hundred twenty-three million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 184 213 276 284 368 426 552 568 852 1104 1136 1633 1704 3266 3408 4899 6532 9798 13064 19596 26128 39192 78384 147011 294022 441033 588044 882066 1176088 1764132 2352176 3381253 3528264 6762506 7056528 10143759 10437781 13525012 20287518 20875562 27050024 31313343 40575036 41751124 54100048 62626686 81150072 83502248 125253372 162300144 167004496 240068963 250506744 480137926 501013488 720206889 960275852 1440413778 1920551704 2880827556 3841103408 5761655112 11523310224