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112211234104144 = 2478354122312229
BaseRepresentation
bin11001100000111000110110…
…101111111010001101010000
3112201022021210211121221022211
4121200320312233322031100
5104201432101412313034
61034353043532441504
732430664662343060
oct3140706657721520
9481267724557284
10112211234104144
113283257634696a
1210703357319294
134a7c6214176a6
141d9d0a48c13a0
15ce8d12047d64
hex660e36bfa350

112211234104144 has 80 divisors (see below), whose sum is σ = 251926139445120. Its totient is φ = 47423301880320.

The previous prime is 112211234104103. The next prime is 112211234104159. The reversal of 112211234104144 is 441401432112211.

It is a happy number.

It is a super-2 number, since 2×1122112341041442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 6126979 + ... + 16185250.

It is an arithmetic number, because the mean of its divisors is an integer number (3149076743064).

Almost surely, 2112211234104144 is an apocalyptic number.

112211234104144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112211234104144 is an abundant number, since it is smaller than the sum of its proper divisors (139714905340976).

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

112211234104144 is a wasteful number, since it uses less digits than its factorization.

112211234104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22312868 (or 22312862 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 112211234104144 its reverse (441401432112211), we get a palindrome (553612666216355).

The spelling of 112211234104144 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred thirty-four million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 541 581 664 1082 1162 1328 2164 2324 3787 4328 4648 7574 8656 9296 15148 30296 44903 60592 89806 179612 314321 359224 628642 718448 1257284 2514568 5029136 22312229 44624458 89248916 156185603 178497832 312371206 356995664 624742412 1249484824 1851915007 2498969648 3703830014 7407660028 12070915889 12963405049 14815320056 24141831778 25926810098 29630640112 48283663556 51853620196 84496411223 96567327112 103707240392 168992822446 193134654224 207414480784 337985644892 675971289784 1001886018787 1351942579568 2003772037574 4007544075148 7013202131509 8015088150296 14026404263018 16030176300592 28052808526036 56105617052072 112211234104144