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314105301 = 3234900589
BaseRepresentation
bin10010101110001…
…101110111010101
3210220001012110200
4102232031313111
51120402332201
651100211113
710532564616
oct2256156725
9726035420
10314105301
11151338a64
1289239a99
13500c9133
142da05c0d
151c898386
hex12b8ddd5

314105301 has 6 divisors (see below), whose sum is σ = 453707670. Its totient is φ = 209403528.

The previous prime is 314105291. The next prime is 314105317. The reversal of 314105301 is 103501413.

It can be written as a sum of positive squares in only one way, i.e., 286794225 + 27311076 = 16935^2 + 5226^2 .

It is not a de Polignac number, because 314105301 - 25 = 314105269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314101301) 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 5 ways as a sum of consecutive naturals, for example, 17450286 + ... + 17450303.

It is an arithmetic number, because the mean of its divisors is an integer number (75617945).

Almost surely, 2314105301 is an apocalyptic number.

It is an amenable number.

314105301 is a deficient number, since it is larger than the sum of its proper divisors (139602369).

314105301 is a wasteful number, since it uses less digits than its factorization.

314105301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34900595 (or 34900592 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 314105301 is about 17723.0161372155. The cubic root of 314105301 is about 679.7644087273.

Adding to 314105301 its reverse (103501413), we get a palindrome (417606714).

The spelling of 314105301 in words is "three hundred fourteen million, one hundred five thousand, three hundred one".

Divisors: 1 3 9 34900589 104701767 314105301