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313204431 = 3679371663
BaseRepresentation
bin10010101010110…
…001111011001111
3210211100102201010
4102222301323033
51120140020211
651025020303
710522123311
oct2252617317
9724312633
10313204431
11150883141
1288a84693
134cb72087
142d84d7b1
151c76b4a6
hex12ab1ecf

313204431 has 16 divisors (see below), whose sum is σ = 424546304. Its totient is φ = 205343424.

The previous prime is 313204421. The next prime is 313204433. The reversal of 313204431 is 134402313.

It is not a de Polignac number, because 313204431 - 214 = 313188047 is a prime.

It is a super-2 number, since 2×3132044312 = 196194031196067522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313204398 and 313204407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313204433) 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 15 ways as a sum of consecutive naturals, for example, 187506 + ... + 189168.

It is an arithmetic number, because the mean of its divisors is an integer number (26534144).

Almost surely, 2313204431 is an apocalyptic number.

313204431 is a deficient number, since it is larger than the sum of its proper divisors (111341873).

313204431 is a wasteful number, since it uses less digits than its factorization.

313204431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313204431 is about 17697.5826315347. The cubic root of 313204431 is about 679.1139201378.

Adding to 313204431 its reverse (134402313), we get a palindrome (447606744).

The spelling of 313204431 in words is "three hundred thirteen million, two hundred four thousand, four hundred thirty-one".

Divisors: 1 3 67 201 937 1663 2811 4989 62779 111421 188337 334263 1558231 4674693 104401477 313204431