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3121415505 = 325135335753
BaseRepresentation
bin1011101000001101…
…0000010101010001
322001112111100002200
42322003100111101
522343040244010
61233422433413
7140231410515
oct27203202521
98045440080
103121415505
111361a5973a
12731432869
133a98b5830
142187b0145
15134078cc0
hexba0d0551

3121415505 has 24 divisors (see below), whose sum is σ = 5826643368. Its totient is φ = 1536696576.

The previous prime is 3121415459. The next prime is 3121415527. The reversal of 3121415505 is 5055141213.

3121415505 is a `hidden beast` number, since 3 + 12 + 141 + 5 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 234824976 + 2886590529 = 15324^2 + 53727^2 .

It is not a de Polignac number, because 3121415505 - 223 = 3113026897 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2667292 + ... + 2668461.

It is an arithmetic number, because the mean of its divisors is an integer number (242776807).

Almost surely, 23121415505 is an apocalyptic number.

It is an amenable number.

3121415505 is a deficient number, since it is larger than the sum of its proper divisors (2705227863).

3121415505 is a wasteful number, since it uses less digits than its factorization.

3121415505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335777 (or 5335774 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 3121415505 is about 55869.6295405652. The cubic root of 3121415505 is about 1461.4496618031.

Adding to 3121415505 its reverse (5055141213), we get a palindrome (8176556718).

The spelling of 3121415505 in words is "three billion, one hundred twenty-one million, four hundred fifteen thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 5335753 16007259 26678765 48021777 69364789 80036295 208094367 240108885 346823945 624283101 1040471835 3121415505