Base | Representation |
---|---|
bin | 110000100010011100… |
… | …1011100001000000000 |
3 | 100222001022202220002112 |
4 | 1201010321130020000 |
5 | 3201433142420300 |
6 | 115515052234452 |
7 | 10350020633315 |
oct | 1410471341000 |
9 | 328038686075 |
10 | 104235123200 |
11 | 4022a01191a |
12 | 1825016ba28 |
13 | 9aa20652c0 |
14 | 508b6dad0c |
15 | 2aa0e55e35 |
hex | 1844e5c200 |
104235123200 has 240 divisors, whose sum is σ = 281958760776. Its totient is φ = 37955174400.
The previous prime is 104235123193. The next prime is 104235123233. The reversal of 104235123200 is 2321532401.
It can be written as a sum of positive squares in 12 ways, for example, as 8848036096 + 95387087104 = 94064^2 + 308848^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12142910 + ... + 12151490.
Almost surely, 2104235123200 is an apocalyptic number.
104235123200 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 104235123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140979380388).
104235123200 is an abundant number, since it is smaller than the sum of its proper divisors (177723637576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104235123200 is an equidigital number, since it uses as much as digits as its factorization.
104235123200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8695 (or 8674 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 23.
Adding to 104235123200 its reverse (2321532401), we get a palindrome (106556655601).
The spelling of 104235123200 in words is "one hundred four billion, two hundred thirty-five million, one hundred twenty-three thousand, two hundred".
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