Search a number
-
+
109062310320 = 243255313121817
BaseRepresentation
bin110010110010010011…
…1101100100110110000
3101102111201222101221200
41211210213230212300
53241324422412240
6122034051451200
710610444225205
oct1454447544660
9342451871850
10109062310320
1142286915a67
12191788b6b00
13a391168442
1453c8855cac
152c84b23930
hex19649ec9b0

109062310320 has 240 divisors, whose sum is σ = 376044226272. Its totient is φ = 28315422720.

The previous prime is 109062310319. The next prime is 109062310327. The reversal of 109062310320 is 23013260901.

109062310320 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 623 + 1 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (109062310327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4988052 + ... + 5009868.

Almost surely, 2109062310320 is an apocalyptic number.

109062310320 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 109062310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188022113136).

109062310320 is an abundant number, since it is smaller than the sum of its proper divisors (266981915952).

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

109062310320 is a wasteful number, since it uses less digits than its factorization.

109062310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22020 (or 22011 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 109062310320 in words is "one hundred nine billion, sixty-two million, three hundred ten thousand, three hundred twenty".