| Base | Representation |
|---|---|
| bin | 1001000110101111000011… |
| … | …0000110010111110000000 |
| 3 | 1022110001221121212110100100 |
| 4 | 2101223300300302332000 |
| 5 | 2303011132124420300 |
| 6 | 33143044520322400 |
| 7 | 2052202446324624 |
| oct | 221536060627600 |
| 9 | 38401847773310 |
| 10 | 10011313123200 |
| 11 | 320a857299a14 |
| 12 | 1158314613400 |
| 13 | 5780a7bc6c6c |
| 14 | 26879b82b184 |
| 15 | 12563d234700 |
| hex | 91af0c32f80 |
10011313123200 has 288 divisors, whose sum is σ = 36153061602840. Its totient is φ = 2637518008320.
The previous prime is 10011313123193. The next prime is 10011313123223. The reversal of 10011313123200 is 232131311001.
10011313123200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 31 + 312 + 320 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×100113131232003 (a number of 40 digits) contains 333 as substring.
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 pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296334 + ... + 4484466.
Almost surely, 210011313123200 is an apocalyptic number.
10011313123200 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 10011313123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076530801420).
10011313123200 is an abundant number, since it is smaller than the sum of its proper divisors (26141748479640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10011313123200 is a wasteful number, since it uses less digits than its factorization.
10011313123200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4188246 (or 4188226 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 10011313123200 its reverse (232131311001), we get a palindrome (10243444434201).
The spelling of 10011313123200 in words is "ten trillion, eleven billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred".
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