Search a number
-
+
2124321108 = 223731329372
BaseRepresentation
bin111111010011110…
…1001000101010100
312111001021200201120
41332213221011110
513322311233413
6550443323540
7103433301000
oct17647510524
95431250646
102124321108
119a013a988
124b35205b0
1327b155050
141621bb700
15c676d723
hex7e9e9154

2124321108 has 288 divisors, whose sum is σ = 6618528000. Its totient is φ = 526321152.

The previous prime is 2124321103. The next prime is 2124321109. The reversal of 2124321108 is 8011234212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124321103) by changing a digit.

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, 57414066 + ... + 57414102.

It is an arithmetic number, because the mean of its divisors is an integer number (22981000).

Almost surely, 22124321108 is an apocalyptic number.

2124321108 is a gapful number since it is divisible by the number (28) 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 2124321108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309264000).

2124321108 is an abundant number, since it is smaller than the sum of its proper divisors (4494206892).

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

2124321108 is a wasteful number, since it uses less digits than its factorization.

2124321108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2124321108 is about 46090.3580806225. The cubic root of 2124321108 is about 1285.5038691777.

The spelling of 2124321108 in words is "two billion, one hundred twenty-four million, three hundred twenty-one thousand, one hundred eight".