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110031012110112 = 25323931115420043
BaseRepresentation
bin11001000001001010010111…
…011001000001111100100000
3112102120212021102022012112220
4121001022113121001330200
5103410222003100010422
61030003314340551040
732114323024225002
oct3101122731017440
9472525242265486
10110031012110112
1132071987919565
12104108b73b2480
134951b59253882
141d2575a96a372
15cac25c110e5c
hex641297641f20

110031012110112 has 96 divisors (see below), whose sum is σ = 290972529469440. Its totient is φ = 36406102360320.

The previous prime is 110031012110099. The next prime is 110031012110137. The reversal of 110031012110112 is 211011210130011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1100310121101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110031012110091 and 110031012110100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 574438 + ... + 14845605.

It is an arithmetic number, because the mean of its divisors is an integer number (3030963848640).

Almost surely, 2110031012110112 is an apocalyptic number.

110031012110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110031012110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145486264734720).

110031012110112 is an abundant number, since it is smaller than the sum of its proper divisors (180941517359328).

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

110031012110112 is a wasteful number, since it uses less digits than its factorization.

110031012110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15420606 (or 15420598 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 110031012110112 its reverse (211011210130011), we get a palindrome (321042222240123).

The spelling of 110031012110112 in words is "one hundred ten trillion, thirty-one billion, twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 311 478 622 717 933 956 1244 1434 1866 1912 2488 2868 3732 3824 4976 5736 7464 7648 9952 11472 14928 22944 29856 74329 148658 222987 297316 445974 594632 891948 1189264 1783896 2378528 3567792 7135584 15420043 30840086 46260129 61680172 92520258 123360344 185040516 246720688 370081032 493441376 740162064 1480324128 3685390277 4795633373 7370780554 9591266746 11056170831 14386900119 14741561108 19182533492 22112341662 28773800238 29483122216 38365066984 44224683324 57547600476 58966244432 76730133968 88449366648 115095200952 117932488864 153460267936 176898733296 230190401904 353797466592 460380803808 1146156376147 2292312752294 3438469128441 4584625504588 6876938256882 9169251009176 13753876513764 18338502018352 27507753027528 36677004036704 55015506055056 110031012110112