Base | Representation |
---|---|
bin | 110010101111001000100010… |
… | …000111100011001111101100 |
3 | 1002021002002201002110021102120 |
4 | 302233020202013203033230 |
5 | 213221421342121113400 |
6 | 2110325411035152540 |
7 | 65000266341002502 |
oct | 6257104207431754 |
9 | 1067062632407376 |
10 | 223141303301100 |
11 | 65110771482648 |
12 | 2103a342ba5750 |
13 | 9768199987182 |
14 | 3d1614d506672 |
15 | 1abe63d9cdca0 |
hex | caf2221e33ec |
223141303301100 has 288 divisors, whose sum is σ = 695632063365120. Its totient is φ = 55064740896000.
The previous prime is 223141303301093. The next prime is 223141303301171. The reversal of 223141303301100 is 1103303141322.
223141303301100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231413033011003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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, 725181081 + ... + 725488719.
Almost surely, 2223141303301100 is an apocalyptic number.
223141303301100 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 223141303301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347816031682560).
223141303301100 is an abundant number, since it is smaller than the sum of its proper divisors (472490760064020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223141303301100 is a wasteful number, since it uses less digits than its factorization.
223141303301100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 311101 (or 311094 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
Adding to 223141303301100 its reverse (1103303141322), we get a palindrome (224244606442422).
The spelling of 223141303301100 in words is "two hundred twenty-three trillion, one hundred forty-one billion, three hundred three million, three hundred one thousand, one hundred".
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