Base | Representation |
---|---|
bin | 10011001001000… |
… | …001000111111000 |
3 | 211101021010220202 |
4 | 103021001013320 |
5 | 1124202143000 |
6 | 51510541332 |
7 | 10646365661 |
oct | 2311010770 |
9 | 741233822 |
10 | 321131000 |
11 | 1552a7523 |
12 | 8b667848 |
13 | 516b8c58 |
14 | 30914368 |
15 | 1d2d4dd5 |
hex | 132411f8 |
321131000 has 64 divisors (see below), whose sum is σ = 762821280. Its totient is φ = 126508800.
The previous prime is 321130987. The next prime is 321131011. The reversal of 321131000 is 131123.
321131000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3211310002 = 206250238322000000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64604 + ... + 69396.
Almost surely, 2321131000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 321131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381410640).
321131000 is an abundant number, since it is smaller than the sum of its proper divisors (441690280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
321131000 is a wasteful number, since it uses less digits than its factorization.
321131000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4881 (or 4867 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
The square root of 321131000 is about 17920.1283477547. The cubic root of 321131000 is about 684.7952573313.
Adding to 321131000 its reverse (131123), we get a palindrome (321262123).
The spelling of 321131000 in words is "three hundred twenty-one million, one hundred thirty-one thousand".
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