| Base | Representation |
|---|---|
| bin | 1100000010111… |
| … | …10010110101000 |
| 3 | 21001010212020000 |
| 4 | 12001132112220 |
| 5 | 201332043033 |
| 6 | 14005503000 |
| 7 | 2334623511 |
| oct | 601362650 |
| 9 | 231125200 |
| 10 | 101049768 |
| 11 | 52049206 |
| 12 | 29a11a60 |
| 13 | 17c20581 |
| 14 | d5c5a08 |
| 15 | 8d10a13 |
| hex | 605e5a8 |
101049768 has 80 divisors (see below), whose sum is σ = 299714580. Its totient is φ = 31698432.
The previous prime is 101049757. The next prime is 101049779. The reversal of 101049768 is 867940101.
101049768 is a `hidden beast` number, since 101 + 0 + 497 + 68 = 666.
It is an interprime number because it is at equal distance from previous prime (101049757) and next prime (101049779).
It can be written as a sum of positive squares in 2 ways, for example, as 98366724 + 2683044 = 9918^2 + 1638^2 .
It is a super-2 number, since 2×1010497682 = 20422111225707648, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6430 + ... + 15602.
Almost surely, 2101049768 is an apocalyptic number.
101049768 is a gapful number since it is divisible by the number (18) 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 101049768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149857290).
101049768 is an abundant number, since it is smaller than the sum of its proper divisors (198664812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101049768 is a wasteful number, since it uses less digits than its factorization.
101049768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9208 (or 9195 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The square root of 101049768 is about 10052.3513667201. The cubic root of 101049768 is about 465.7774299854. Note that the first 3 decimals are identical.
Adding to 101049768 its reverse (867940101), we get a palindrome (968989869).
The spelling of 101049768 in words is "one hundred one million, forty-nine thousand, seven hundred sixty-eight".
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