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109182002328 = 233372921111801
BaseRepresentation
bin110010110101111000…
…0010010010010011000
3101102211002012101112000
41211223300102102120
53242101043033303
6122054005121000
710613426464410
oct1455360222230
9342732171460
10109182002328
1142338437383
12191b09b9160
13a3acbb5109
1453da6d1640
152c903b7da3
hex196bc12498

109182002328 has 256 divisors, whose sum is σ = 360291456000. Its totient is φ = 29973888000.

The previous prime is 109182002311. The next prime is 109182002381. The reversal of 109182002328 is 823200281901.

It is a Cunningham number, because it is equal to 3304272-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109182002292 and 109182002301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9246028 + ... + 9257828.

It is an arithmetic number, because the mean of its divisors is an integer number (1407388500).

Almost surely, 2109182002328 is an apocalyptic number.

109182002328 is a gapful number since it is divisible by the number (18) 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 109182002328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180145728000).

109182002328 is an abundant number, since it is smaller than the sum of its proper divisors (251109453672).

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

109182002328 is a wasteful number, since it uses less digits than its factorization.

109182002328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063 (or 12053 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 109182002328 in words is "one hundred nine billion, one hundred eighty-two million, two thousand, three hundred twenty-eight".