| Base | Representation |
|---|---|
| bin | 110010110000000000011010… |
| … | …111110011011000101010000 |
| 3 | 1002021021211121021022100021200 |
| 4 | 302300000122332123011100 |
| 5 | 213223412242112310000 |
| 6 | 2110413133451351200 |
| 7 | 65004522416055153 |
| oct | 6260003276330520 |
| 9 | 1067254537270250 |
| 10 | 223201313010000 |
| 11 | 65134166391096 |
| 12 | 21049ab0152500 |
| 13 | 9770a41433570 |
| 14 | 3d190033a5c9a |
| 15 | 1ac0ea1eed500 |
| hex | cb001af9b150 |
223201313010000 has 600 divisors, whose sum is σ = 842428483792896. Its totient is φ = 54823063680000.
The previous prime is 223201313009977. The next prime is 223201313010001. The reversal of 223201313010000 is 10313102322.
223201313010000 is a `hidden beast` number, since 2 + 232 + 0 + 131 + 301 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (600).
It is a super-3 number, since 3×2232013130100003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223201313010001) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 541503985 + ... + 541916015.
Almost surely, 2223201313010000 is an apocalyptic number.
223201313010000 is a gapful number since it is divisible by the number (20) 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 223201313010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421214241896448).
223201313010000 is an abundant number, since it is smaller than the sum of its proper divisors (619227170782896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223201313010000 is a wasteful number, since it uses less digits than its factorization.
223201313010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 412541 (or 412517 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 223201313010000 its reverse (10313102322), we get a palindrome (223211626112322).
The spelling of 223201313010000 in words is "two hundred twenty-three trillion, two hundred one billion, three hundred thirteen million, ten thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.094 sec. • engine limits •