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2132330112 = 273211191881
BaseRepresentation
bin111111100011000…
…1100011010000000
312111121100121000100
41333012030122000
513331334030422
6551331122400
7103561335603
oct17706143200
95447317010
102132330112
119a47101a0
124b6143400
1327c9ca5c3
141632a433a
15c73017ac
hex7f18c680

2132330112 has 192 divisors, whose sum is σ = 6736504320. Its totient is φ = 642048000.

The previous prime is 2132330107. The next prime is 2132330113. The reversal of 2132330112 is 2110332312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2132330113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2419912 + ... + 2420792.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 22132330112 is an apocalyptic number.

2132330112 is a gapful number since it is divisible by the number (22) 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 2132330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368252160).

2132330112 is an abundant number, since it is smaller than the sum of its proper divisors (4604174208).

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

2132330112 is a wasteful number, since it uses less digits than its factorization.

2132330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2132330112 is about 46177.1600685880. The cubic root of 2132330112 is about 1287.1173562620.

Adding to 2132330112 its reverse (2110332312), we get a palindrome (4242662424).

The spelling of 2132330112 in words is "two billion, one hundred thirty-two million, three hundred thirty thousand, one hundred twelve".