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110222101012112 = 24315472213183577
BaseRepresentation
bin11001000011111100010101…
…001011010101111010010000
3112110021010111201210012122122
4121003330111023111322100
5103421334330324341422
61030231200103153412
732134166262131315
oct3103742513257220
9473233451705578
10110222101012112
1132135a2659a961
1210441946745868
134966b9034b99b
141d30ac7378d0c
15cb21e30b9d42
hex643f152d5e90

110222101012112 has 80 divisors (see below), whose sum is σ = 220948206838272. Its totient is φ = 53211427476480.

The previous prime is 110222101011977. The next prime is 110222101012159. The reversal of 110222101012112 is 211210101222011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600321668 + ... + 600505244.

Almost surely, 2110222101012112 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 110222101012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110474103419136).

110222101012112 is an abundant number, since it is smaller than the sum of its proper divisors (110726105826160).

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

110222101012112 is a wasteful number, since it uses less digits than its factorization.

110222101012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186376 (or 186370 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110222101012112 its reverse (211210101222011), we get a palindrome (321432202234123).

The spelling of 110222101012112 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred one million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 496 547 1094 2188 2213 4376 4426 8752 8852 16957 17704 33914 35408 67828 68603 135656 137206 183577 271312 274412 367154 548824 734308 1097648 1210511 1468616 2421022 2937232 4842044 5690887 9684088 11381774 19368176 22763548 37525841 45527096 75051682 91054192 100416619 150103364 200833238 300206728 401666476 406255901 600413456 803332952 812511802 1606665904 1625023604 3112915189 3250047208 6225830378 6500094416 12451660756 12593932931 24903321512 25187865862 49806643024 50375731724 100751463448 201502926896 222221977847 444443955694 888887911388 1777775822776 3555551645552 6888881313257 13777762626514 27555525253028 55111050506056 110222101012112