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110045222166032 = 24232938571190899
BaseRepresentation
bin11001000001010111100110…
…011000000101111000010000
3112102122012221202000211200022
4121001113212120011320100
5103410440103333303112
61030014024355443012
732115335122552316
oct3101274630057020
9472565852024608
10110045222166032
1132077a0a04892a
12104136022b6468
1349532b222ab9a
141d26307cc20b6
15cac7de8d7d72
hex6415e6605e10

110045222166032 has 80 divisors (see below), whose sum is σ = 223502738659200. Its totient is φ = 52389451293696.

The previous prime is 110045222166029. The next prime is 110045222166091. The reversal of 110045222166032 is 230661222540011.

It is a junction number, because it is equal to n+sod(n) for n = 110045222165983 and 110045222166001.

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 15 ways as a sum of consecutive naturals, for example, 91809719 + ... + 93000617.

It is an arithmetic number, because the mean of its divisors is an integer number (2793784233240).

Almost surely, 2110045222166032 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 110045222166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111751369329600).

110045222166032 is an abundant number, since it is smaller than the sum of its proper divisors (113457516493168).

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

110045222166032 is a wasteful number, since it uses less digits than its factorization.

110045222166032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192080 (or 1192074 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 110045222166032 in words is "one hundred ten trillion, forty-five billion, two hundred twenty-two million, one hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 293 368 586 857 1172 1714 2344 3428 4688 6739 6856 13478 13712 19711 26956 39422 53912 78844 107824 157688 251101 315376 502202 1004404 1190899 2008808 2381798 4017616 4763596 5775323 9527192 11550646 19054384 23101292 27390677 46202584 54781354 92405168 109562708 219125416 348933407 438250832 697866814 1020600443 1395733628 2041200886 2791467256 4082401772 5582934512 8025468361 8164803544 16050936722 16329607088 23473810189 32101873444 46947620378 64203746888 93895240756 128407493776 187790481512 299035929799 375580963024 598071859598 1196143719196 2392287438392 4784574876784 6877826385377 13755652770754 27511305541508 55022611083016 110045222166032