| Base | Representation |
|---|---|
| bin | 1100000101001… |
| … | …00010100000000 |
| 3 | 21001200102022001 |
| 4 | 12002210110000 |
| 5 | 201420230240 |
| 6 | 14015553344 |
| 7 | 2340226111 |
| oct | 602442400 |
| 9 | 231612261 |
| 10 | 101336320 |
| 11 | 52224528 |
| 12 | 29b2b854 |
| 13 | 17cc0b27 |
| 14 | d65c208 |
| 15 | 8d6a89a |
| hex | 60a4500 |
101336320 has 72 divisors (see below), whose sum is σ = 257065704. Its totient is φ = 38141952.
The previous prime is 101336317. The next prime is 101336327. The reversal of 101336320 is 23633101.
It can be written as a sum of positive squares in 4 ways, for example, as 6390784 + 94945536 = 2528^2 + 9744^2 .
It is a super-2 number, since 2×1013363202 = 20538099502284800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101336327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19432 + ... + 24088.
It is an arithmetic number, because the mean of its divisors is an integer number (3570357).
Almost surely, 2101336320 is an apocalyptic number.
101336320 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 101336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128532852).
101336320 is an abundant number, since it is smaller than the sum of its proper divisors (155729384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101336320 is an equidigital number, since it uses as much as digits as its factorization.
101336320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4695 (or 4681 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 19.
The square root of 101336320 is about 10066.5942602253. The cubic root of 101336320 is about 466.2172907691.
Adding to 101336320 its reverse (23633101), we get a palindrome (124969421).
The spelling of 101336320 in words is "one hundred one million, three hundred thirty-six thousand, three hundred twenty".
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