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1314131 = 72132063
BaseRepresentation
bin101000000110101010011
32110202122112
411000311103
5314023011
644055535
714112200
oct5006523
92422575
101314131
11818365
125345ab
133701c0
14262ca7
151ae58b
hex140d53

1314131 has 12 divisors (see below), whose sum is σ = 1647072. Its totient is φ = 1039248.

The previous prime is 1314127. The next prime is 1314133.

1314131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1314131 - 22 = 1314127 is a prime.

It is a super-2 number, since 2×13141312 = 3453880570322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1314133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (137256).

21314131 is an apocalyptic number.

1314131 is a deficient number, since it is larger than the sum of its proper divisors (332941).

1314131 is a wasteful number, since it uses less digits than its factorization.

1314131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2083 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 1314131 is about 1146.3555294934. The cubic root of 1314131 is about 109.5333120780.

The spelling of 1314131 in words is "one million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 13 49 91 637 2063 14441 26819 101087 187733 1314131