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313200030 = 235112136637
BaseRepresentation
bin10010101010110…
…000110110011110
3210211100012200010
4102222300312132
51120134400110
651024544050
710522104423
oct2252606636
9724305603
10313200030
1115087a900
1288a82026
134cb70080
142d84bd4a
151c76a020
hex12ab0d9e

313200030 has 96 divisors (see below), whose sum is σ = 889916832. Its totient is φ = 70076160.

The previous prime is 313200023. The next prime is 313200053. The reversal of 313200030 is 30002313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313199979 and 313200015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43872 + ... + 50508.

It is an arithmetic number, because the mean of its divisors is an integer number (9269967).

Almost surely, 2313200030 is an apocalyptic number.

313200030 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 313200030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444958416).

313200030 is an abundant number, since it is smaller than the sum of its proper divisors (576716802).

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

313200030 is a wasteful number, since it uses less digits than its factorization.

313200030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 313200030 is about 17697.4582920825. The cubic root of 313200030 is about 679.1107392607.

Adding to 313200030 its reverse (30002313), we get a palindrome (343202343).

The spelling of 313200030 in words is "three hundred thirteen million, two hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3630 4290 4719 6637 7865 9438 13274 15730 19911 23595 33185 39822 47190 66370 73007 86281 99555 146014 172562 199110 219021 258843 365035 431405 438042 517686 730070 803077 862810 949091 1095105 1294215 1606154 1898182 2190210 2409231 2588430 2847273 4015385 4745455 4818462 5694546 8030770 9490910 10440001 12046155 14236365 20880002 24092310 28472730 31320003 52200005 62640006 104400010 156600015 313200030