Search a number
-
+
130223101212000 = 25325337269363439
BaseRepresentation
bin11101100110111111101101…
…101100000111010101100000
3122002002012120211022010121200
4131212333231230013111200
5114032033402402241000
61140543400011121200
736300210562545666
oct3546775554072540
9562065524263550
10130223101212000
11385473417a7975
1212732139143200
135787ca790c874
142422b90396c36
15100c605b71500
hex766fedb07560

130223101212000 has 576 divisors, whose sum is σ = 476418464121600. Its totient is φ = 33661918310400.

The previous prime is 130223101211989. The next prime is 130223101212073. The reversal of 130223101212000 is 212101322031.

130223101212000 is a `hidden beast` number, since 1 + 30 + 2 + 2 + 310 + 121 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358126281 + ... + 358489719.

It is an arithmetic number, because the mean of its divisors is an integer number (827115389100).

Almost surely, 2130223101212000 is an apocalyptic number.

130223101212000 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 130223101212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238209232060800).

130223101212000 is an abundant number, since it is smaller than the sum of its proper divisors (346195362909600).

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

130223101212000 is a wasteful number, since it uses less digits than its factorization.

130223101212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363776 (or 363755 counting only the distinct ones).

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

Adding to 130223101212000 its reverse (212101322031), we get a palindrome (130435202534031).

The spelling of 130223101212000 in words is "one hundred thirty trillion, two hundred twenty-three billion, one hundred one million, two hundred twelve thousand".