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110011110112 = 252310110713831
BaseRepresentation
bin110011001110100101…
…1000101001011100000
3101111221212022102120201
41212131023011023200
53300300321010422
6122312143514544
710643115002311
oct1463513051340
9344855272521
10110011110112
1142723449322
12193a25b8a54
13a4b28b9b37
145478876608
152cdd08e727
hex199d2c52e0

110011110112 has 96 divisors (see below), whose sum is σ = 230388447744. Its totient is φ = 51602496000.

The previous prime is 110011110101. The next prime is 110011110137. The reversal of 110011110112 is 211011110011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7947037 + ... + 7960867.

It is an arithmetic number, because the mean of its divisors is an integer number (2399879664).

Almost surely, 2110011110112 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 110011110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115194223872).

110011110112 is an abundant number, since it is smaller than the sum of its proper divisors (120377337632).

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

110011110112 is a wasteful number, since it uses less digits than its factorization.

110011110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110011110112 its reverse (211011110011), we get a palindrome (321022220123).

The spelling of 110011110112 in words is "one hundred ten billion, eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 101 107 184 202 214 368 404 428 736 808 856 1616 1712 2323 2461 3232 3424 4646 4922 9292 9844 10807 13831 18584 19688 21614 27662 37168 39376 43228 55324 74336 78752 86456 110648 172912 221296 248561 318113 345824 442592 497122 636226 994244 1272452 1396931 1479917 1988488 2544904 2793862 2959834 3976976 5089808 5587724 5919668 7953952 10179616 11175448 11839336 22350896 23678672 32129413 34038091 44701792 47357344 64258826 68076182 128517652 136152364 149471617 257035304 272304728 298943234 514070608 544609456 597886468 1028141216 1089218912 1195772936 2391545872 3437847191 4783091744 6875694382 13751388764 27502777528 55005555056 110011110112