Base | Representation |
---|---|
bin | 10010111010100100… |
… | …100000000111110001 |
3 | 1221102102211220110102 |
4 | 102322210200013301 |
5 | 313043330000423 |
6 | 13155201442145 |
7 | 1316205103214 |
oct | 227244400761 |
9 | 57372756412 |
10 | 20310000113 |
11 | 8682513767 |
12 | 3b29940355 |
13 | 1bb8997360 |
14 | da953d77b |
15 | 7dd0a2c28 |
hex | 4ba9201f1 |
20310000113 has 24 divisors (see below), whose sum is σ = 23266191480. Its totient is φ = 17620899840.
The previous prime is 20310000107. The next prime is 20310000121. The reversal of 20310000113 is 31100001302.
It can be written as a sum of positive squares in 12 ways, for example, as 44944 + 20309955169 = 212^2 + 142513^2 .
It is not a de Polignac number, because 20310000113 - 216 = 20309934577 is a prime.
It is a super-3 number, since 3×203100001133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 20310000094 and 20310000103.
It is not an unprimeable number, because it can be changed into a prime (20310000013) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111293 + ... + 3117813.
It is an arithmetic number, because the mean of its divisors is an integer number (969424645).
Almost surely, 220310000113 is an apocalyptic number.
It is an amenable number.
20310000113 is a deficient number, since it is larger than the sum of its proper divisors (2956191367).
20310000113 is a wasteful number, since it uses less digits than its factorization.
20310000113 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7397 (or 7380 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
Adding to 20310000113 its reverse (31100001302), we get a palindrome (51410001415).
The spelling of 20310000113 in words is "twenty billion, three hundred ten million, one hundred thirteen", and thus it is an aban number.
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