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114121 = 7217137
BaseRepresentation
bin11011110111001001
312210112201
4123313021
512122441
62240201
7653500
oct336711
9183481
10114121
1178817
1256061
133cc37
142d837
1523c31
hex1bdc9

114121 has 12 divisors (see below), whose sum is σ = 141588. Its totient is φ = 91392.

The previous prime is 114113. The next prime is 114143. The reversal of 114121 is 121411.

It can be written as a sum of positive squares in 2 ways, for example, as 78400 + 35721 = 280^2 + 189^2 .

It is not a de Polignac number, because 114121 - 23 = 114113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114098 and 114107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114161) 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 11 ways as a sum of consecutive naturals, for example, 765 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (11799).

2114121 is an apocalyptic number.

It is an amenable number.

114121 is a deficient number, since it is larger than the sum of its proper divisors (27467).

114121 is a wasteful number, since it uses less digits than its factorization.

114121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its digits is 8, while the sum is 10.

The square root of 114121 is about 337.8179983364. The cubic root of 114121 is about 48.5052249304.

Adding to 114121 its reverse (121411), we get a palindrome (235532).

The spelling of 114121 in words is "one hundred fourteen thousand, one hundred twenty-one", and thus it is an iban number.

Divisors: 1 7 17 49 119 137 833 959 2329 6713 16303 114121