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BaseRepresentation
bin1001100001100111111
3120212011021
41030030333
534442002
610405011
72436664
oct1141477
9525137
10312127
111a3562
12130767
13ac0ba
1481a6b
1562737
hex4c33f

312127 has 8 divisors (see below), whose sum is σ = 331200. Its totient is φ = 293664.

The previous prime is 312121. The next prime is 312161. The reversal of 312127 is 721213.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312127 is a prime.

It is a Duffinian number.

312127 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 312127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249 + ... + 1477.

It is an arithmetic number, because the mean of its divisors is an integer number (41400).

2312127 is an apocalyptic number.

312127 is a deficient number, since it is larger than the sum of its proper divisors (19073).

312127 is a wasteful number, since it uses less digits than its factorization.

312127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its digits is 84, while the sum is 16.

The square root of 312127 is about 558.6832734206. The cubic root of 312127 is about 67.8334302584.

The spelling of 312127 in words is "three hundred twelve thousand, one hundred twenty-seven", and thus it is an iban number.

Divisors: 1 29 47 229 1363 6641 10763 312127