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113323311033024 = 2632777093005329
BaseRepresentation
bin11001110001000100100011…
…101100101110101011000000
3112212020121021101120020222210
4121301010203230232223000
5104323142120111024044
61041004002124502120
732604224201306601
oct3161044354565300
9485217241506883
10113323311033024
1133121167822314
12108629976aa940
134b3045b280a11
141ddac3dcadda8
15d17becdb31b9
hex671123b2eac0

113323311033024 has 112 divisors (see below), whose sum is σ = 301341553983200. Its totient is φ = 37584968564736.

The previous prime is 113323311033001. The next prime is 113323311033041. The reversal of 113323311033024 is 420330113323311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113323311032982 and 113323311033000.

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, 36204792 + ... + 39210120.

Almost surely, 2113323311033024 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 113323311033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150670776991600).

113323311033024 is an abundant number, since it is smaller than the sum of its proper divisors (188018242950176).

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

113323311033024 is a wasteful number, since it uses less digits than its factorization.

113323311033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006330 (or 3006320 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 113323311033024 its reverse (420330113323311), we get a palindrome (533653424356335).

The spelling of 113323311033024 in words is "one hundred thirteen trillion, three hundred twenty-three billion, three hundred eleven million, thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 709 831 1108 1418 1662 2127 2216 2836 3324 4254 4432 5672 6648 8508 8864 11344 13296 17016 17728 22688 26592 34032 45376 53184 68064 136128 196393 392786 589179 785572 1178358 1571144 2356716 3005329 3142288 4713432 6010658 6284576 9015987 9426864 12021316 12569152 18031974 18853728 24042632 36063948 37707456 48085264 72127896 96170528 144255792 192341056 288511584 577023168 832476133 1664952266 2130778261 2497428399 3329904532 4261556522 4994856798 6392334783 6659809064 8523113044 9989713596 12784669566 13319618128 17046226088 19979427192 25569339132 26639236256 34092452176 39958854384 51138678264 53278472512 68184904352 79917708768 102277356528 136369808704 159835417536 204554713056 409109426112 590225578297 1180451156594 1770676734891 2360902313188 3541353469782 4721804626376 7082706939564 9443609252752 14165413879128 18887218505504 28330827758256 37774437011008 56661655516512 113323311033024