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316105361 = 112131711821
BaseRepresentation
bin10010110101110…
…110001010010001
3211000210211000222
4102311312022101
51121410332421
651211122425
710555564655
oct2265661221
9730724028
10316105361
11152484700
1289a43415
13506495c0
142dda6a65
151cb40cab
hex12d76291

316105361 has 24 divisors (see below), whose sum is σ = 396226152. Its totient is φ = 249638400.

The previous prime is 316105333. The next prime is 316105381. The reversal of 316105361 is 163501613.

It can be written as a sum of positive squares in 4 ways, for example, as 6345361 + 309760000 = 2519^2 + 17600^2 .

It is not a de Polignac number, because 316105361 - 26 = 316105297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 316105361.

It is not an unprimeable number, because it can be changed into a prime (316105301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20831 + ... + 32651.

It is an arithmetic number, because the mean of its divisors is an integer number (16509423).

Almost surely, 2316105361 is an apocalyptic number.

It is an amenable number.

316105361 is a deficient number, since it is larger than the sum of its proper divisors (80120791).

316105361 is a wasteful number, since it uses less digits than its factorization.

316105361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 316105361 is about 17779.3520973066. The cubic root of 316105361 is about 681.2041531754.

Adding to 316105361 its reverse (163501613), we get a palindrome (479606974).

The spelling of 316105361 in words is "three hundred sixteen million, one hundred five thousand, three hundred sixty-one".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2431 11821 26741 130031 153673 200957 1430341 1690403 2210527 2612441 18594433 24315797 28736851 316105361