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11011325424 = 24311101206483
BaseRepresentation
bin10100100000101001…
…10111110111110000
31001102101202021210120
422100110313313300
5140022344403144
65020350530240
7536604502401
oct122024676760
931371667716
1011011325424
114740673850
122173806980
131066391598
147665bb9a8
15446a79e19
hex290537df0

11011325424 has 80 divisors (see below), whose sum is σ = 31339315584. Its totient is φ = 3303712000.

The previous prime is 11011325411. The next prime is 11011325431. The reversal of 11011325424 is 42452311011.

11011325424 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 = 11011325394 and 11011325403.

It is a congruent number.

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, 49914 + ... + 156569.

Almost surely, 211011325424 is an apocalyptic number.

It is an amenable number.

11011325424 is an abundant number, since it is smaller than the sum of its proper divisors (20327990160).

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

11011325424 is a wasteful number, since it uses less digits than its factorization.

11011325424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206606 (or 206600 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11011325424 its reverse (42452311011), we get a palindrome (53463636435).

The spelling of 11011325424 in words is "eleven billion, eleven million, three hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 206483 412966 619449 825932 1238898 1651864 2271313 2477796 3303728 4542626 4955592 6813939 9085252 9911184 13627878 18170504 20854783 27255756 36341008 41709566 54511512 62564349 83419132 109023024 125128698 166838264 229402613 250257396 333676528 458805226 500514792 688207839 917610452 1001029584 1376415678 1835220904 2752831356 3670441808 5505662712 11011325424