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110122020 = 223253671667
BaseRepresentation
bin1101001000001…
…01010000100100
321200012210000100
412210011100210
5211142401040
614532144100
72505010311
oct644052044
9250183010
10110122020
1157185338
1230a68030
1319a78a78
14108a7d08
159a03b30
hex6905424

110122020 has 72 divisors (see below), whose sum is σ = 335147904. Its totient is φ = 29268288.

The previous prime is 110122007. The next prime is 110122021. The reversal of 110122020 is 20221011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110121993 and 110122011.

It is not an unprimeable number, because it can be changed into a prime (110122021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65227 + ... + 66893.

It is an arithmetic number, because the mean of its divisors is an integer number (4654832).

Almost surely, 2110122020 is an apocalyptic number.

110122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167573952).

110122020 is an abundant number, since it is smaller than the sum of its proper divisors (225025884).

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

110122020 is a wasteful number, since it uses less digits than its factorization.

110122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 110122020 is about 10493.9039446719. The cubic root of 110122020 is about 479.3190866171.

Adding to 110122020 its reverse (20221011), we get a palindrome (130343031).

The spelling of 110122020 in words is "one hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1667 1835 2202 3303 3334 3670 4404 5001 5505 6606 6668 7340 8335 10002 11010 13212 15003 16515 16670 20004 22020 25005 30006 33030 33340 50010 60012 66060 75015 100020 150030 300060 611789 1223578 1835367 2447156 3058945 3670734 5506101 6117890 7341468 9176835 11012202 12235780 18353670 22024404 27530505 36707340 55061010 110122020