Search a number
-
+
113112120022320 = 243517238916383089
BaseRepresentation
bin11001101101111111110111…
…101110111101010100110000
3112211111102011010102022211110
4121231333313232331110300
5104311212110211203240
61040322553544313320
732553036531322326
oct3155776756752460
9484442133368743
10113112120022320
113304a642a20141
1210829a78172840
134b165725a9723
141dd09277d9d16
15d1248c21dc80
hex66dff7bbd530

113112120022320 has 640 divisors, whose sum is σ = 394177471027200. Its totient is φ = 26684472950784.

The previous prime is 113112120022261. The next prime is 113112120022357. The reversal of 113112120022320 is 23220021211311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1361295336 + ... + 1361378424.

It is an arithmetic number, because the mean of its divisors is an integer number (615902298480).

Almost surely, 2113112120022320 is an apocalyptic number.

113112120022320 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 113112120022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197088735513600).

113112120022320 is an abundant number, since it is smaller than the sum of its proper divisors (281065351004880).

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

113112120022320 is a wasteful number, since it uses less digits than its factorization.

113112120022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83397 (or 83391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 113112120022320 its reverse (23220021211311), we get a palindrome (136332141233631).

The spelling of 113112120022320 in words is "one hundred thirteen trillion, one hundred twelve billion, one hundred twenty million, twenty-two thousand, three hundred twenty".