Base | Representation |
---|---|
bin | 100000011100111101000… |
… | …110011001001110111100 |
3 | 21220012022102021011201201 |
4 | 200130331012121032330 |
5 | 243014232424104040 |
6 | 4424255543345244 |
7 | 320056165456342 |
oct | 40347506311674 |
9 | 7805272234651 |
10 | 2230113113020 |
11 | 78a870793551 |
12 | 300264452224 |
13 | 1323b6500900 |
14 | 79d1c021992 |
15 | 3d024e70a9a |
hex | 2073d1993bc |
2230113113020 has 144 divisors (see below), whose sum is σ = 5122042877952. Its totient is φ = 815210023680.
The previous prime is 2230113113003. The next prime is 2230113113057. The reversal of 2230113113020 is 203113110322.
2230113113020 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 3×22301131130203 (a number of 38 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144889525 + ... + 144904915.
It is an arithmetic number, because the mean of its divisors is an integer number (35569742208).
Almost surely, 22230113113020 is an apocalyptic number.
2230113113020 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 2230113113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561021438976).
2230113113020 is an abundant number, since it is smaller than the sum of its proper divisors (2891929764932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230113113020 is a wasteful number, since it uses less digits than its factorization.
2230113113020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15852 (or 15837 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
Adding to 2230113113020 its reverse (203113110322), we get a palindrome (2433226223342).
The spelling of 2230113113020 in words is "two trillion, two hundred thirty billion, one hundred thirteen million, one hundred thirteen thousand, twenty".
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