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110111322112 = 2121111712087
BaseRepresentation
bin110011010001100100…
…1010111000000000000
3101112012211212201121021
41212203021113000000
53301001444301422
6122330123435224
710645442536501
oct1464311270000
9345184781537
10110111322112
1142774a75060
1219410085b14
13a4ca5a5c8c
145487cc0ba8
152ce6c86dc7
hex19a3257000

110111322112 has 104 divisors (see below), whose sum is σ = 240533891712. Its totient is φ = 49983897600.

The previous prime is 110111322107. The next prime is 110111322133. The reversal of 110111322112 is 211223111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52759533 + ... + 52761619.

Almost surely, 2110111322112 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 110111322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120266945856).

110111322112 is an abundant number, since it is smaller than the sum of its proper divisors (130422569600).

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

110111322112 is a wasteful number, since it uses less digits than its factorization.

110111322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 110111322112 its reverse (211223111011), we get a palindrome (321334433123).

The spelling of 110111322112 in words is "one hundred ten billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1171 1408 2048 2087 2342 2816 4096 4174 4684 5632 8348 9368 11264 12881 16696 18736 22528 22957 25762 33392 37472 45056 45914 51524 66784 74944 91828 103048 133568 149888 183656 206096 267136 299776 367312 412192 534272 599552 734624 824384 1068544 1199104 1469248 1648768 2137088 2398208 2443877 2938496 3297536 4274176 4796416 4887754 5876992 6595072 8548352 9775508 11753984 13190144 19551016 23507968 26380288 26882647 39102032 47015936 52760576 53765294 78204064 94031872 107530588 156408128 215061176 312816256 430122352 625632512 860244704 1251265024 1720489408 2502530048 3440978816 5005060096 6881957632 10010120192 13763915264 27527830528 55055661056 110111322112