Search a number
-
+
112103221230000 = 24325471113337199
BaseRepresentation
bin11001011111010100010000…
…101011011111100110110000
3112200220222000020100102011200
4121133110100223133212300
5104143144344113330000
61034231301530011200
732420122220144340
oct3137242053374660
9480828006312150
10112103221230000
11327a078894a930
12106a6431b76b00
134a72399808000
141d97b795a4d20
15ce60de61d500
hex65f510adf9b0

112103221230000 has 4800 divisors, whose sum is σ = 546534852864000. Its totient is φ = 20816040960000.

The previous prime is 112103221229981. The next prime is 112103221230017. The reversal of 112103221230000 is 32122301211.

112103221230000 is a `hidden beast` number, since 1 + 1 + 210 + 3 + 221 + 230 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 563332769901 + ... + 563332770099.

It is an arithmetic number, because the mean of its divisors is an integer number (113861427680).

Almost surely, 2112103221230000 is an apocalyptic number.

112103221230000 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 112103221230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273267426432000).

112103221230000 is an abundant number, since it is smaller than the sum of its proper divisors (434431631634000).

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

112103221230000 is a wasteful number, since it uses less digits than its factorization.

112103221230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112103221230000 its reverse (32122301211), we get a palindrome (112135343531211).

The spelling of 112103221230000 in words is "one hundred twelve trillion, one hundred three billion, two hundred twenty-one million, two hundred thirty thousand".