Base | Representation |
---|---|
bin | 10010101010000… |
… | …000110001111011 |
3 | 210210222012120120 |
4 | 102222000301323 |
5 | 1120112100011 |
6 | 51020424323 |
7 | 10520324400 |
oct | 2252006173 |
9 | 723865516 |
10 | 313003131 |
11 | 150755981 |
12 | 889a80a3 |
13 | 4cb0156c |
14 | 2d7da2a7 |
15 | 1c72ba06 |
hex | 12a80c7b |
313003131 has 24 divisors (see below), whose sum is σ = 511030080. Its totient is φ = 169443792.
The previous prime is 313003109. The next prime is 313003153. The reversal of 313003131 is 131300313.
It is an interprime number because it is at equal distance from previous prime (313003109) and next prime (313003153).
It is not a de Polignac number, because 313003131 - 29 = 313002619 is a prime.
It is a super-2 number, since 2×3130031312 = 195941920031606322, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 313003131.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313003181) 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 in 23 ways as a sum of consecutive naturals, for example, 53241 + ... + 58826.
It is an arithmetic number, because the mean of its divisors is an integer number (21292920).
Almost surely, 2313003131 is an apocalyptic number.
313003131 is a deficient number, since it is larger than the sum of its proper divisors (198026949).
313003131 is a wasteful number, since it uses less digits than its factorization.
313003131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112103 (or 112096 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 15.
The square root of 313003131 is about 17691.8945000246. The cubic root of 313003131 is about 678.9683975797.
Adding to 313003131 its reverse (131300313), we get a palindrome (444303444).
The spelling of 313003131 in words is "three hundred thirteen million, three thousand, one hundred thirty-one".
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