Base | Representation |
---|---|
bin | 100111100000… |
… | …100101111101 |
3 | 201111012021221 |
4 | 213200211331 |
5 | 10122411432 |
6 | 1005553341 |
7 | 154014451 |
oct | 47404575 |
9 | 21435257 |
10 | 10357117 |
11 | 5934501 |
12 | 3575851 |
13 | 21b8294 |
14 | 1538661 |
15 | d98b97 |
hex | 9e097d |
10357117 has 2 divisors, whose sum is σ = 10357118. Its totient is φ = 10357116.
The previous prime is 10357111. The next prime is 10357121. The reversal of 10357117 is 71175301.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 7761796 + 2595321 = 2786^2 + 1611^2 .
It is an emirp because it is prime and its reverse (71175301) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 10357117 - 219 = 9832829 is a prime.
It is a super-3 number, since 3×103571173 (a number of 22 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10357091 and 10357100.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (10357111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5178558 + 5178559.
It is an arithmetic number, because the mean of its divisors is an integer number (5178559).
Almost surely, 210357117 is an apocalyptic number.
It is an amenable number.
10357117 is a deficient number, since it is larger than the sum of its proper divisors (1).
10357117 is an equidigital number, since it uses as much as digits as its factorization.
10357117 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 735, while the sum is 25.
The square root of 10357117 is about 3218.2475044657. The cubic root of 10357117 is about 217.9781492001.
The spelling of 10357117 in words is "ten million, three hundred fifty-seven thousand, one hundred seventeen".
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