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313405125 = 3531126907
BaseRepresentation
bin10010101011100…
…010111011000101
3210211201122000020
4102223202323011
51120212431000
651033205353
710523620365
oct2253427305
9724648006
10313405125
111509aaa00
1288b60859
134cc12527
142d8a29a5
151c7aaba0
hex12ae2ec5

313405125 has 48 divisors (see below), whose sum is σ = 573308736. Its totient is φ = 151932000.

The previous prime is 313405111. The next prime is 313405151. The reversal of 313405125 is 521504313.

It is not a de Polignac number, because 313405125 - 27 = 313404997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313405095 and 313405104.

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, 41922 + ... + 48828.

It is an arithmetic number, because the mean of its divisors is an integer number (11943932).

Almost surely, 2313405125 is an apocalyptic number.

It is an amenable number.

313405125 is a deficient number, since it is larger than the sum of its proper divisors (259903611).

313405125 is a wasteful number, since it uses less digits than its factorization.

313405125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 313405125 is about 17703.2518199341. The cubic root of 313405125 is about 679.2589425519.

Adding to 313405125 its reverse (521504313), we get a palindrome (834909438).

The spelling of 313405125 in words is "three hundred thirteen million, four hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 125 165 275 363 375 605 825 1375 1815 3025 4125 6907 9075 15125 20721 34535 45375 75977 103605 172675 227931 379885 518025 835747 863375 1139655 1899425 2507241 2590125 4178735 5698275 9497125 12536205 20893675 28491375 62681025 104468375 313405125