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10011244224 = 263235933823
BaseRepresentation
bin10010101001011011…
…10111011011000000
3221211200220220022010
421110231313123000
5131000334303344
64333223412520
7503042112642
oct112455673300
927750826263
1010011244224
1142780a4a63
121b348b4140
13c37126467
146ad84c892
153d8d7e8b9
hex254b776c0

10011244224 has 112 divisors (see below), whose sum is σ = 27693591552. Its totient is φ = 3185774592.

The previous prime is 10011244171. The next prime is 10011244237. The reversal of 10011244224 is 42244211001.

10011244224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10011244224.

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, 2616777 + ... + 2620599.

Almost surely, 210011244224 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 10011244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846795776).

10011244224 is an abundant number, since it is smaller than the sum of its proper divisors (17682347328).

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

10011244224 is a wasteful number, since it uses less digits than its factorization.

10011244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10011244224 its reverse (42244211001), we get a palindrome (52255455225).

The spelling of 10011244224 in words is "ten billion, eleven million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 593 736 1104 1186 1472 1779 2208 2372 3558 3823 4416 4744 7116 7646 9488 11469 13639 14232 15292 18976 22938 27278 28464 30584 37952 40917 45876 54556 56928 61168 81834 87929 91752 109112 113856 122336 163668 175858 183504 218224 244672 263787 327336 351716 367008 436448 527574 654672 703432 734016 872896 1055148 1309344 1406864 2110296 2267039 2618688 2813728 4220592 4534078 5627456 6801117 8441184 9068156 13602234 16882368 18136312 27204468 36272624 52141897 54408936 72545248 104283794 108817872 145090496 156425691 208567588 217635744 312851382 417135176 435271488 625702764 834270352 1251405528 1668540704 2502811056 3337081408 5005622112 10011244224