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109349560320 = 21335721113127
BaseRepresentation
bin110010111010110111…
…1011110000000000000
3101110020202111012212120
41211311233132000000
53242421441412240
6122122352324240
710620532632600
oct1456557360000
9343222435776
10109349560320
1142413a81160
1219238b43680
13a408820a60
145414a6ac00
152c9ee64ad0
hex1975bde000

109349560320 has 1344 divisors, whose sum is σ = 481946443776. Its totient is φ = 20808990720.

The previous prime is 109349560289. The next prime is 109349560357. The reversal of 109349560320 is 23065943901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 861020097 + ... + 861020223.

It is an arithmetic number, because the mean of its divisors is an integer number (358591104).

Almost surely, 2109349560320 is an apocalyptic number.

109349560320 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 109349560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240973221888).

109349560320 is an abundant number, since it is smaller than the sum of its proper divisors (372596883456).

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

109349560320 is a wasteful number, since it uses less digits than its factorization.

109349560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 109349560320 in words is "one hundred nine billion, three hundred forty-nine million, five hundred sixty thousand, three hundred twenty".