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122271 = 353769
BaseRepresentation
bin11101110110011111
320012201120
4131312133
512403041
62342023
71016322
oct356637
9205646
10122271
1183956
125a913
1343866
14327b9
1526366
hex1dd9f

122271 has 8 divisors (see below), whose sum is σ = 166320. Its totient is φ = 79872.

The previous prime is 122267. The next prime is 122273. The reversal of 122271 is 172221.

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

It is not a de Polignac number, because 122271 - 22 = 122267 is a prime.

122271 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 122271.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122271.

It is not an unprimeable number, because it can be changed into a prime (122273) 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 7 ways as a sum of consecutive naturals, for example, 226 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2122271 is an apocalyptic number.

122271 is a deficient number, since it is larger than the sum of its proper divisors (44049).

122271 is an equidigital number, since it uses as much as digits as its factorization.

122271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825.

The product of its digits is 56, while the sum is 15.

The square root of 122271 is about 349.6727041106. The cubic root of 122271 is about 49.6334527622.

Adding to 122271 its reverse (172221), we get a palindrome (294492).

It can be divided in two parts, 122 and 271, that added together give a palindrome (393).

The spelling of 122271 in words is "one hundred twenty-two thousand, two hundred seventy-one", and thus it is an iban number.

Divisors: 1 3 53 159 769 2307 40757 122271