Base | Representation |
---|---|
bin | 1101100101001110001… |
… | …1010100010100111010 |
3 | 211022021011120011202200 |
4 | 3121103203110110322 |
5 | 12310324440014320 |
6 | 255105035411030 |
7 | 22600064200125 |
oct | 3312343242472 |
9 | 738234504680 |
10 | 233330001210 |
11 | 8aa55780449 |
12 | 392798b3a76 |
13 | 1900656bc97 |
14 | b4168b53bc |
15 | 61095ca290 |
hex | 36538d453a |
233330001210 has 96 divisors (see below), whose sum is σ = 613193332752. Its totient is φ = 61551636480.
The previous prime is 233330001167. The next prime is 233330001227. The reversal of 233330001210 is 12100033332.
233330001210 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 20365287849 + 212964713361 = 142707^2 + 461481^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24762300 + ... + 24771720.
Almost surely, 2233330001210 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233330001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306596666376).
233330001210 is an abundant number, since it is smaller than the sum of its proper divisors (379863331542).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233330001210 is a wasteful number, since it uses less digits than its factorization.
233330001210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12368 (or 12365 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 233330001210 its reverse (12100033332), we get a palindrome (245430034542).
The spelling of 233330001210 in words is "two hundred thirty-three billion, three hundred thirty million, one thousand, two hundred ten".
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