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11034221224 = 23131494091741
BaseRepresentation
bin10100100011011000…
…01101101010101000
31001110222211111221011
422101230031222220
5140044230034344
65022525353304
7540303222115
oct122154155250
931428744834
1011034221224
1147525917a4
12217b408834
13106b049ab0
1476965b90c
15448a9dd34
hex291b0daa8

11034221224 has 64 divisors (see below), whose sum is σ = 22497930000. Its totient is φ = 5043271680.

The previous prime is 11034221213. The next prime is 11034221249. The reversal of 11034221224 is 42212243011.

It can be written as a sum of positive squares in 8 ways, for example, as 624100324 + 10410120900 = 24982^2 + 102030^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11034221195 and 11034221204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6336994 + ... + 6338734.

Almost surely, 211034221224 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 11034221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248965000).

11034221224 is an abundant number, since it is smaller than the sum of its proper divisors (11463708776).

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

11034221224 is a wasteful number, since it uses less digits than its factorization.

11034221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2314 counting only the distinct ones).

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

Adding to 11034221224 its reverse (42212243011), we get a palindrome (53246464235).

The spelling of 11034221224 in words is "eleven billion, thirty-four million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 149 298 409 596 818 1192 1636 1741 1937 3272 3482 3874 5317 6964 7748 10634 13928 15496 21268 22633 42536 45266 60941 90532 121882 181064 243764 259409 487528 518818 712069 792233 1037636 1424138 1584466 2075272 2848276 3168932 3372317 5696552 6337864 6744634 9256897 13489268 18513794 26978536 37027588 74055176 106098281 212196562 424393124 848786248 1379277653 2758555306 5517110612 11034221224