Base | Representation |
---|---|
bin | 10010101010011… |
… | …110010010110100 |
3 | 210211012100101221 |
4 | 102222132102310 |
5 | 1120124432040 |
6 | 51023200124 |
7 | 10521340006 |
oct | 2252362264 |
9 | 724170357 |
10 | 313124020 |
11 | 150828790 |
12 | 88a46044 |
13 | 4cb445b1 |
14 | 2d82c376 |
15 | 1c75274a |
hex | 12a9e4b4 |
313124020 has 96 divisors (see below), whose sum is σ = 785998080. Its totient is φ = 103434240.
The previous prime is 313123981. The next prime is 313124023. The reversal of 313124020 is 20421313.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 313123985 and 313124003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313124023) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107017 + ... + 109903.
It is an arithmetic number, because the mean of its divisors is an integer number (8187480).
Almost surely, 2313124020 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 313124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392999040).
313124020 is an abundant number, since it is smaller than the sum of its proper divisors (472874060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313124020 is a wasteful number, since it uses less digits than its factorization.
313124020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2953 (or 2951 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 313124020 is about 17695.3106782560. The cubic root of 313124020 is about 679.0557973932.
Adding to 313124020 its reverse (20421313), we get a palindrome (333545333).
The spelling of 313124020 in words is "three hundred thirteen million, one hundred twenty-four thousand, twenty".
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