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3131441131 = 71334411441
BaseRepresentation
bin1011101010100101…
…1111111111101011
322002020100200200011
42322221133333223
522403122104011
61234421352351
7140412544660
oct27251377753
98066320604
103131441131
111367687085
127348686b7
133ab9b5c60
14219c5da67
15134da9621
hexbaa5ffeb

3131441131 has 8 divisors (see below), whose sum is σ = 3854081504. Its totient is φ = 2477623680.

The previous prime is 3131441119. The next prime is 3131441143. The reversal of 3131441131 is 1311441313.

It is an interprime number because it is at equal distance from previous prime (3131441119) and next prime (3131441143).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3131441131 - 27 = 3131441003 is a prime.

It is a super-2 number, since 2×31314411312 = 19611847113837118322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3131451131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17205630 + ... + 17205811.

It is an arithmetic number, because the mean of its divisors is an integer number (481760188).

Almost surely, 23131441131 is an apocalyptic number.

3131441131 is a deficient number, since it is larger than the sum of its proper divisors (722640373).

3131441131 is a wasteful number, since it uses less digits than its factorization.

3131441131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34411461.

The product of its digits is 432, while the sum is 22.

The square root of 3131441131 is about 55959.2810086048. The cubic root of 3131441131 is about 1463.0126587669.

Adding to 3131441131 its reverse (1311441313), we get a palindrome (4442882444).

The spelling of 3131441131 in words is "three billion, one hundred thirty-one million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 7 13 91 34411441 240880087 447348733 3131441131