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315113121 = 3235012569
BaseRepresentation
bin10010110010000…
…011111010100001
3210221221101221100
4102302003322201
51121132104441
651133545013
710544263101
oct2262037241
9727841840
10315113121
11151967174
1289645169
135038ca8b
142dbc9201
151c9e6cb6
hex12c83ea1

315113121 has 6 divisors (see below), whose sum is σ = 455163410. Its totient is φ = 210075408.

The previous prime is 315113093. The next prime is 315113189. The reversal of 315113121 is 121311513.

315113121 is a `hidden beast` number, since 31 + 511 + 3 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 296528400 + 18584721 = 17220^2 + 4311^2 .

It is not a de Polignac number, because 315113121 - 225 = 281558689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 315113094 and 315113103.

It is not an unprimeable number, because it can be changed into a prime (315113021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17506276 + ... + 17506293.

Almost surely, 2315113121 is an apocalyptic number.

It is an amenable number.

315113121 is a deficient number, since it is larger than the sum of its proper divisors (140050289).

315113121 is a wasteful number, since it uses less digits than its factorization.

315113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35012575 (or 35012572 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 315113121 is about 17751.4258863901. The cubic root of 315113121 is about 680.4906500702.

Adding to 315113121 its reverse (121311513), we get a palindrome (436424634).

The spelling of 315113121 in words is "three hundred fifteen million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 35012569 105037707 315113121