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109334382080 = 2957211175979
BaseRepresentation
bin110010111010011010…
…1100100011000000000
3101110012200221002020112
41211310311210120000
53242404100211310
6122121051130452
710620256625300
oct1456465443000
9343180832215
10109334382080
1142406454560
1219233a43a28
13a405638251
145412a39600
152c9d967705
hex1974d64600

109334382080 has 960 divisors, whose sum is σ = 362741068800. Its totient is φ = 31130910720.

The previous prime is 109334382061. The next prime is 109334382089. The reversal of 109334382080 is 80283433901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109334382089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1383979481 + ... + 1383979559.

It is an arithmetic number, because the mean of its divisors is an integer number (377855280).

Almost surely, 2109334382080 is an apocalyptic number.

109334382080 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 109334382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181370534400).

109334382080 is an abundant number, since it is smaller than the sum of its proper divisors (253406686720).

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

109334382080 is a wasteful number, since it uses less digits than its factorization.

109334382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 109334382080 in words is "one hundred nine billion, three hundred thirty-four million, three hundred eighty-two thousand, eighty".