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11223103424 = 261324492311
BaseRepresentation
bin10100111001111001…
…01111011111000000
31001222011020201121012
422130330233133000
5140441103302144
65053354020052
7545055543101
oct123474573700
931864221535
1011223103424
11483a170795
122212717628
13109b210800
147867883a8
1545a45de9e
hex29cf2f7c0

11223103424 has 84 divisors (see below), whose sum is σ = 24179936400. Its totient is φ = 5166120960.

The previous prime is 11223103421. The next prime is 11223103453. The reversal of 11223103424 is 42430132211.

It is a self number, because there is not a number n which added to its sum of digits gives 11223103424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223103421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4855229 + ... + 4857539.

Almost surely, 211223103424 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 11223103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12089968200).

11223103424 is an abundant number, since it is smaller than the sum of its proper divisors (12956832976).

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

11223103424 is a wasteful number, since it uses less digits than its factorization.

11223103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2775 counting only the distinct ones).

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

Adding to 11223103424 its reverse (42430132211), we get a palindrome (53653235635).

The spelling of 11223103424 in words is "eleven billion, two hundred twenty-three million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 449 676 832 898 1352 1796 2311 2704 3592 4622 5408 5837 7184 9244 10816 11674 14368 18488 23348 28736 30043 36976 46696 60086 73952 75881 93392 120172 147904 151762 186784 240344 303524 373568 390559 480688 607048 781118 961376 1037639 1214096 1562236 1922752 2075278 2428192 3124472 4150556 4856384 6248944 8301112 12497888 13489307 16602224 24995776 26978614 33204448 53957228 66408896 107914456 175360991 215828912 350721982 431657824 701443964 863315648 1402887928 2805775856 5611551712 11223103424