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112623213056211 = 35111331104549969
BaseRepresentation
bin11001100110111000100010…
…100110111001000011010011
3112202202200012100201010100000
4121212320202212321003103
5104230204320020244321
61035310220111301043
732502521131555434
oct3146704246710323
9482680170633300
10112623213056211
1132981266764250
121076b17221a783
134aac42872b140
141db4dc798348b
15d048c5405826
hex666e229b90d3

112623213056211 has 96 divisors (see below), whose sum is σ = 204590072494080. Its totient is φ = 60973541337600.

The previous prime is 112623213056209. The next prime is 112623213056227. The reversal of 112623213056211 is 112650312326211.

112623213056211 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 3 + 21 + 3 + 0 + 5 + 621 + 1 = 666.

It is not a de Polignac number, because 112623213056211 - 21 = 112623213056209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112623213006211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51197766 + ... + 53352203.

It is an arithmetic number, because the mean of its divisors is an integer number (2131146588480).

Almost surely, 2112623213056211 is an apocalyptic number.

112623213056211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112623213056211 is a deficient number, since it is larger than the sum of its proper divisors (91966859437869).

112623213056211 is a wasteful number, since it uses less digits than its factorization.

112623213056211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104550039 (or 104550027 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 112623213056211 in words is "one hundred twelve trillion, six hundred twenty-three billion, two hundred thirteen million, fifty-six thousand, two hundred eleven".

Divisors: 1 3 9 11 13 27 31 33 39 81 93 99 117 143 243 279 297 341 351 403 429 837 891 1023 1053 1209 1287 2511 2673 3069 3159 3627 3861 4433 7533 9207 10881 11583 13299 27621 32643 34749 39897 82863 97929 119691 359073 1077219 104549969 313649907 940949721 1150049659 1359149597 2822849163 3241049039 3450148977 4077448791 8468547489 9723147117 10350446931 12232346373 14950645567 25405642467 29169441351 31051340793 35651539429 36697039119 42133637507 44851936701 87508324053 93154022379 106954618287 110091117357 126400912521 134555810103 262524972159 279462067137 320863854861 330273352071 379202737563 403667430309 463470012577 787574916477 962591564583 1137608212689 1211002290927 1390410037731 2887774693749 3412824638067 3633006872781 4171230113193 8663324081247 10238473914201 12513690339579 37541071018737 112623213056211