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313051530 = 235112633607
BaseRepresentation
bin10010101010001…
…100100110001010
3210211001122222010
4102222030212022
51120120122110
651021440350
710520615451
oct2252144612
9724048863
10313051530
11150789280
1288a100b6
134cb1a5bc
142d80db98
151c73b020
hex12a8c98a

313051530 has 64 divisors (see below), whose sum is σ = 822970368. Its totient is φ = 75581760.

The previous prime is 313051517. The next prime is 313051553. The reversal of 313051530 is 35150313.

It is a happy number.

It is a super-3 number, since 3×3130515303 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313051497 and 313051506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84987 + ... + 88593.

It is an arithmetic number, because the mean of its divisors is an integer number (12858912).

Almost surely, 2313051530 is an apocalyptic number.

313051530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313051530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411485184).

313051530 is an abundant number, since it is smaller than the sum of its proper divisors (509918838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313051530 is a wasteful number, since it uses less digits than its factorization.

313051530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 313051530 is about 17693.2622769234. The cubic root of 313051530 is about 679.0033915831.

The spelling of 313051530 in words is "three hundred thirteen million, fifty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 263 330 526 789 1315 1578 2630 2893 3607 3945 5786 7214 7890 8679 10821 14465 17358 18035 21642 28930 36070 39677 43395 54105 79354 86790 108210 119031 198385 238062 396770 595155 948641 1190310 1897282 2845923 4743205 5691846 9486410 10435051 14229615 20870102 28459230 31305153 52175255 62610306 104350510 156525765 313051530