Base | Representation |
---|---|
bin | 110100100110010100101101… |
… | …110011011111000011001100 |
3 | 1010100002010022222002100212200 |
4 | 310212110231303133003030 |
5 | 220310120420003013400 |
6 | 2140000242110201500 |
7 | 66504120443142240 |
oct | 6446245563370314 |
9 | 1110063288070780 |
10 | 231332002001100 |
11 | 67789395353690 |
12 | 21b418374b3290 |
13 | 9c1068b885790 |
14 | 411a758820420 |
15 | 1bb2722522b00 |
hex | d2652dcdf0cc |
231332002001100 has 864 divisors, whose sum is σ = 999869726908416. Its totient is φ = 43172140492800.
The previous prime is 231332002001099. The next prime is 231332002001117. The reversal of 231332002001100 is 1100200233132.
231332002001100 is a `hidden beast` number, since 2 + 31 + 3 + 320 + 0 + 200 + 110 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29863317 + ... + 36803283.
Almost surely, 2231332002001100 is an apocalyptic number.
231332002001100 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 231332002001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499934863454208).
231332002001100 is an abundant number, since it is smaller than the sum of its proper divisors (768537724907316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231332002001100 is a wasteful number, since it uses less digits than its factorization.
231332002001100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6940055 (or 6940045 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 231332002001100 its reverse (1100200233132), we get a palindrome (232432202234232).
The spelling of 231332002001100 in words is "two hundred thirty-one trillion, three hundred thirty-two billion, two million, one thousand, one hundred".
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