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11123004424 = 23723531271283
BaseRepresentation
bin10100101101111101…
…11001010000001000
31001201011220011120211
422112332321100020
5140234442120144
65035420330504
7542431656220
oct122676712010
931634804524
1011123004424
114798711944
1221a50a3a34
131083563c2c
1477736d080
1545178a034
hex296fb9408

11123004424 has 128 divisors (see below), whose sum is σ = 25560023040. Its totient is φ = 4435022592.

The previous prime is 11123004419. The next prime is 11123004467. The reversal of 11123004424 is 42440032111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11123004395 and 11123004404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8668887 + ... + 8670169.

It is an arithmetic number, because the mean of its divisors is an integer number (199687680).

Almost surely, 211123004424 is an apocalyptic number.

11123004424 is a gapful number since it is divisible by the number (14) 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 11123004424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780011520).

11123004424 is an abundant number, since it is smaller than the sum of its proper divisors (14437018616).

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

11123004424 is a wasteful number, since it uses less digits than its factorization.

11123004424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11123004424 its reverse (42440032111), we get a palindrome (53563036535).

The spelling of 11123004424 in words is "eleven billion, one hundred twenty-three million, four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 53 56 92 106 127 161 184 212 254 322 371 424 508 644 742 889 1016 1219 1283 1288 1484 1778 2438 2566 2921 2968 3556 4876 5132 5842 6731 7112 8533 8981 9752 10264 11684 13462 17066 17962 20447 23368 26924 29509 34132 35924 40894 47117 53848 59018 67999 68264 71848 81788 94234 118036 135998 154813 162941 163576 188468 206563 236072 271996 309626 325882 376936 413126 475993 543992 619252 651764 826252 951986 1083691 1140587 1238504 1303528 1563977 1652504 1903972 2167382 2281174 3127954 3747643 3807944 4334764 4562348 6255908 7495286 8635873 8669528 9124696 10947839 12511816 14990572 17271746 21895678 26233501 29981144 34543492 43791356 52467002 60451111 69086984 87582712 104934004 120902222 198625079 209868008 241804444 397250158 483608888 794500316 1390375553 1589000632 2780751106 5561502212 11123004424