Base | Representation |
---|---|
bin | 10010101010011… |
… | …111110000010100 |
3 | 210211012122121120 |
4 | 102222133300110 |
5 | 1120130130004 |
6 | 51023243540 |
7 | 10521363315 |
oct | 2252376024 |
9 | 724178546 |
10 | 313130004 |
11 | 150832230 |
12 | 88a495b0 |
13 | 4cb47235 |
14 | 2d83060c |
15 | 1c7543d9 |
hex | 12a9fc14 |
313130004 has 96 divisors (see below), whose sum is σ = 880782336. Its totient is φ = 85409280.
The previous prime is 313130003. The next prime is 313130017. The reversal of 313130004 is 400031313.
It is a super-3 number, since 3×3131300043 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313130003) 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, 48579 + ... + 54645.
It is an arithmetic number, because the mean of its divisors is an integer number (9174816).
Almost surely, 2313130004 is an apocalyptic number.
313130004 is a gapful number since it is divisible by the number (34) 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 313130004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440391168).
313130004 is an abundant number, since it is smaller than the sum of its proper divisors (567652332).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313130004 is a wasteful number, since it uses less digits than its factorization.
313130004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6125 (or 6123 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 313130004 is about 17695.4797617923. The cubic root of 313130004 is about 679.0601230957.
Adding to 313130004 its reverse (400031313), we get a palindrome (713161317).
The spelling of 313130004 in words is "three hundred thirteen million, one hundred thirty thousand, four".
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