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109879120980 = 22325610439561
BaseRepresentation
bin110011001010101001…
…1100101010001010100
3101111121122221200112100
41212111103211101110
53300013023332410
6122251110522100
710636623055326
oct1462523452124
9344548850470
10109879120980
11426659989a2
1219366366330
13a491455b65
145465119616
152cd16bb8c0
hex19954e5454

109879120980 has 36 divisors (see below), whose sum is σ = 333300000852. Its totient is φ = 29301098880.

The previous prime is 109879120961. The next prime is 109879121017. The reversal of 109879120980 is 89021978901.

It can be written as a sum of positive squares in 2 ways, for example, as 68855859216 + 41023261764 = 262404^2 + 202542^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 305219601 + ... + 305219960.

It is an arithmetic number, because the mean of its divisors is an integer number (9258333357).

Almost surely, 2109879120980 is an apocalyptic number.

109879120980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109879120980 is an abundant number, since it is smaller than the sum of its proper divisors (223420879872).

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

109879120980 is a wasteful number, since it uses less digits than its factorization.

109879120980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610439576 (or 610439571 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 109879120980 in words is "one hundred nine billion, eight hundred seventy-nine million, one hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 610439561 1220879122 1831318683 2441758244 3052197805 3662637366 5493956049 6104395610 7325274732 9156593415 10987912098 12208791220 18313186830 21975824196 27469780245 36626373660 54939560490 109879120980