Base | Representation |
---|---|
bin | 100000010100001000100110… |
… | …111111111110100100011000 |
3 | 200122012122110100202010022111 |
4 | 200110020212333332210120 |
5 | 122112003024231131300 |
6 | 1222133313035402104 |
7 | 41635624615643143 |
oct | 4024104677764430 |
9 | 618178410663274 |
10 | 142121122130200 |
11 | 41314258397184 |
12 | 13b340382b3334 |
13 | 613bc6c78a9a5 |
14 | 27149b014305a |
15 | 1166d6ac279ba |
hex | 814226ffe918 |
142121122130200 has 96 divisors (see below), whose sum is σ = 333552774693600. Its totient is φ = 56312068700160.
The previous prime is 142121122130191. The next prime is 142121122130201. The reversal of 142121122130200 is 2031221121241.
142121122130200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (142121122130201) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36404581 + ... + 40119019.
It is an arithmetic number, because the mean of its divisors is an integer number (3474508069725).
Almost surely, 2142121122130200 is an apocalyptic number.
142121122130200 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 142121122130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166776387346800).
142121122130200 is an abundant number, since it is smaller than the sum of its proper divisors (191431652563400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142121122130200 is a wasteful number, since it uses less digits than its factorization.
142121122130200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3716261 (or 3716252 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 22.
Adding to 142121122130200 its reverse (2031221121241), we get a palindrome (144152343251441).
The spelling of 142121122130200 in words is "one hundred forty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thirty thousand, two hundred".
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