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314301130 = 251121322953
BaseRepresentation
bin10010101110111…
…101101011001010
3210220102011002121
4102232331223022
51120430114010
651104321454
710534341553
oct2256755312
9726364077
10314301130
11151462100
128931328a
1350167300
142da5732a
151c8d63da
hex12bbdaca

314301130 has 144 divisors (see below), whose sum is σ = 709725240. Its totient is φ = 99939840.

The previous prime is 314301107. The next prime is 314301131. The reversal of 314301130 is 31103413.

314301130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1046529 + 313254601 = 1023^2 + 17699^2 .

It is not an unprimeable number, because it can be changed into a prime (314301131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5930184 + ... + 5930236.

Almost surely, 2314301130 is an apocalyptic number.

314301130 is an abundant number, since it is smaller than the sum of its proper divisors (395424110).

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

314301130 is a wasteful number, since it uses less digits than its factorization.

314301130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 314301130 is about 17728.5399850072. The cubic root of 314301130 is about 679.9056457896.

Adding to 314301130 its reverse (31103413), we get a palindrome (345404543).

The spelling of 314301130 in words is "three hundred fourteen million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 29 53 55 58 65 106 110 121 130 143 145 169 242 265 286 290 319 338 377 530 583 605 638 689 715 754 845 1166 1210 1378 1430 1537 1573 1595 1690 1859 1885 2915 3074 3146 3190 3445 3509 3718 3770 4147 4901 5830 6413 6890 7018 7579 7685 7865 8294 8957 9295 9802 12826 15158 15370 15730 16907 17545 17914 18590 19981 20449 20735 24505 32065 33814 35090 37895 39962 40898 41470 44785 45617 49010 53911 64130 75790 83369 84535 89570 91234 98527 99905 102245 107822 166738 169070 185977 197054 199810 204490 219791 228085 259753 269555 371954 416845 439582 456170 492635 519506 539110 593021 833690 929885 985270 1083797 1098955 1186042 1298765 1859770 2167594 2197910 2417701 2597530 2857283 2965105 4835402 5418985 5714566 5930210 10837970 12088505 14286415 24177010 28572830 31430113 62860226 157150565 314301130