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110342212020 = 223251106955381
BaseRepresentation
bin110011011000011101…
…0001000100110110100
3101112210221100011000100
41212300322020212310
53301440101241040
6122405052314100
710654245220065
oct1466072104664
9345727304010
10110342212020
1142883336067
1219475472930
13a536387321
1454aa82456c
152d0c193b30
hex19b0e889b4

110342212020 has 72 divisors (see below), whose sum is σ = 334740992040. Its totient is φ = 29421400320.

The previous prime is 110342211953. The next prime is 110342212051. The reversal of 110342212020 is 20212243011.

It is a happy number.

110342212020 is a `hidden beast` number, since 1 + 103 + 422 + 120 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14467759524 + 95874452496 = 120282^2 + 309636^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110342211984 and 110342212002.

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 23 ways as a sum of consecutive naturals, for example, 1964730 + ... + 2020110.

It is an arithmetic number, because the mean of its divisors is an integer number (4649180445).

Almost surely, 2110342212020 is an apocalyptic number.

110342212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110342212020 is an abundant number, since it is smaller than the sum of its proper divisors (224398780020).

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

110342212020 is a wasteful number, since it uses less digits than its factorization.

110342212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66465 (or 66460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110342212020 its reverse (20212243011), we get a palindrome (130554455031).

The spelling of 110342212020 in words is "one hundred ten billion, three hundred forty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11069 22138 33207 44276 55345 55381 66414 99621 110690 110762 132828 166035 166143 199242 221380 221524 276905 332070 332286 398484 498105 498429 553810 664140 664572 830715 996210 996858 1107620 1661430 1992420 1993716 2492145 3322860 4984290 9968580 613012289 1226024578 1839036867 2452049156 3065061445 3678073734 5517110601 6130122890 7356147468 9195184335 11034221202 12260245780 18390368670 22068442404 27585553005 36780737340 55171106010 110342212020