| Base | Representation |
|---|---|
| bin | 1001010111100111011111… |
| … | …0000000110000000000000 |
| 3 | 1100110210120010212110211000 |
| 4 | 2111321313300012000000 |
| 5 | 2322234121203001000 |
| 6 | 33524212013252000 |
| 7 | 2112150552654450 |
| oct | 225716760060000 |
| 9 | 40423503773730 |
| 10 | 10301340672000 |
| 11 | 3311857288004 |
| 12 | 11a4576194000 |
| 13 | 599548962771 |
| 14 | 27883233bd60 |
| 15 | 12ce65178000 |
| hex | 95e77c06000 |
10301340672000 has 3584 divisors, whose sum is σ = 48049698078720. Its totient is φ = 2123366400000.
The previous prime is 10301340671959. The next prime is 10301340672107. The reversal of 10301340672000 is 27604310301.
10301340672000 is a `hidden beast` number, since 10 + 30 + 13 + 406 + 7 + 200 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3584).
It is a super-3 number, since 3×103013406720003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 101993471950 + ... + 101993472050.
Almost surely, 210301340672000 is an apocalyptic number.
10301340672000 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 10301340672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24024849039360).
10301340672000 is an abundant number, since it is smaller than the sum of its proper divisors (37748357406720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10301340672000 is a wasteful number, since it uses less digits than its factorization.
10301340672000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 166 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
Adding to 10301340672000 its reverse (27604310301), we get a palindrome (10328944982301).
The spelling of 10301340672000 in words is "ten trillion, three hundred one billion, three hundred forty million, six hundred seventy-two thousand".
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