Base | Representation |
---|---|
bin | 111001011110100000… |
… | …0110110001101010000 |
3 | 102210121001200211111020 |
4 | 1302331000312031100 |
5 | 4010241112401034 |
6 | 132411505315440 |
7 | 11626500250626 |
oct | 1627500661520 |
9 | 383531624436 |
10 | 123430200144 |
11 | 4838a148279 |
12 | 1bb08635b80 |
13 | b840a552b4 |
14 | 5d8cb35516 |
15 | 33261c6249 |
hex | 1cbd036350 |
123430200144 has 80 divisors (see below), whose sum is σ = 326236036224. Its totient is φ = 40200768000.
The previous prime is 123430200139. The next prime is 123430200149. The reversal of 123430200144 is 441002034321.
It is an interprime number because it is at equal distance from previous prime (123430200139) and next prime (123430200149).
It is a super-3 number, since 3×1234302001443 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123430200149) 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 15 ways as a sum of consecutive naturals, for example, 302542 + ... + 581714.
Almost surely, 2123430200144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123430200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163118018112).
123430200144 is an abundant number, since it is smaller than the sum of its proper divisors (202805836080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123430200144 is a wasteful number, since it uses less digits than its factorization.
123430200144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279396 (or 279390 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 123430200144 its reverse (441002034321), we get a palindrome (564432234465).
The spelling of 123430200144 in words is "one hundred twenty-three billion, four hundred thirty million, two hundred thousand, one hundred forty-four".
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