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110012201111112 = 23323499627163689
BaseRepresentation
bin11001000000111000110110…
…001010110000111001001000
3112102112001201110002110001020
4121000320312022300321020
5103404414441441023422
61025550524003552440
732113055620326216
oct3100706612607110
9472461643073036
10110012201111112
1132064a045735a3
121040912768b720
13495014bcbbc31
141d2489454dcb6
15caba0a95b95c
hex640e362b0e48

110012201111112 has 128 divisors (see below), whose sum is σ = 287613849600000. Its totient is φ = 34999928916480.

The previous prime is 110012201111083. The next prime is 110012201111147. The reversal of 110012201111112 is 211111102210011.

It is a junction number, because it is equal to n+sod(n) for n = 110012201111091 and 110012201111100.

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 31 ways as a sum of consecutive naturals, for example, 1727302564 + ... + 1727366252.

It is an arithmetic number, because the mean of its divisors is an integer number (2246983200000).

Almost surely, 2110012201111112 is an apocalyptic number.

110012201111112 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 110012201111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143806924800000).

110012201111112 is an abundant number, since it is smaller than the sum of its proper divisors (177601648488888).

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

110012201111112 is a wasteful number, since it uses less digits than its factorization.

110012201111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70491 (or 70487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110012201111112 its reverse (211111102210011), we get a palindrome (321123303321123).

The spelling of 110012201111112 in words is "one hundred ten trillion, twelve billion, two hundred one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 499 552 998 1497 1996 2994 3992 5988 6271 11477 11976 12542 18813 22954 25084 34431 37626 45908 50168 63689 68862 75252 91816 127378 137724 144233 150504 191067 254756 275448 288466 382134 432699 509512 576932 764268 865398 1153864 1464847 1528536 1730796 2929694 3129229 3461592 4394541 5859388 6258458 8789082 9387687 11718776 12516916 17578164 18775374 25033832 31780811 35156328 37550748 63561622 71972267 75101496 95342433 127123244 143944534 190684866 215916801 254246488 287889068 381369732 399393719 431833602 575778136 730958653 762739464 798787438 863667204 1198181157 1461917306 1597574876 1727334408 2192875959 2396362314 2923834612 3195149752 4385751918 4792724628 5847669224 8771503836 9186055537 9585449256 17543007672 18372111074 27558166611 36744222148 55116333222 73488444296 110232666444 199297465781 220465332888 398594931562 597892397343 797189863124 1195784794686 1594379726248 2391569589372 4583841712963 4783139178744 9167683425926 13751525138889 18335366851852 27503050277778 36670733703704 55006100555556 110012201111112