| Base | Representation |
|---|---|
| bin | 110001000000011011… |
| … | …0101011010101000000 |
| 3 | 101001122102120100120000 |
| 4 | 1202000312223111000 |
| 5 | 3211013201011000 |
| 6 | 120202544320000 |
| 7 | 10413654004116 |
| oct | 1420066532500 |
| 9 | 331572510500 |
| 10 | 105241032000 |
| 11 | 406a5901005 |
| 12 | 18491013000 |
| 13 | 9c02590b00 |
| 14 | 5145145ab6 |
| 15 | 2b0e403000 |
| hex | 1880dab540 |
105241032000 has 1260 divisors, whose sum is σ = 435626236188. Its totient is φ = 25069824000.
The previous prime is 105241031981. The next prime is 105241032059. The reversal of 105241032000 is 230142501.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
105241032000 is a `hidden beast` number, since 1 + 0 + 52 + 410 + 3 + 200 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 74149468416 + 31091563584 = 272304^2 + 176328^2 .
It is a super-3 number, since 3×1052410320003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3394871985 + ... + 3394872015.
Almost surely, 2105241032000 is an apocalyptic number.
105241032000 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 105241032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217813118094).
105241032000 is an abundant number, since it is smaller than the sum of its proper divisors (330385204188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105241032000 is an equidigital number, since it uses as much as digits as its factorization.
105241032000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 127 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 105241032000 its reverse (230142501), we get a palindrome (105471174501).
The spelling of 105241032000 in words is "one hundred five billion, two hundred forty-one million, thirty-two thousand".
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