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114013 is a prime number
BaseRepresentation
bin11011110101011101
312210101201
4123311131
512122023
62235501
7653254
oct336535
9183351
10114013
1178729
1255b91
133cb83
142d79b
1523bad
hex1bd5d

114013 has 2 divisors, whose sum is σ = 114014. Its totient is φ = 114012.

The previous prime is 114001. The next prime is 114031. The reversal of 114013 is 310411.

Subtracting from 114013 its sum of digits (10), we obtain a triangular number (114003 = T477).

Adding to 114013 its reverse (310411), we get a palindrome (424424).

It is a happy number.

Together with next prime (114031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 45369 = 262^2 + 213^2 .

It is a cyclic number.

It is not a de Polignac number, because 114013 - 29 = 113501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57006 + 57007.

It is an arithmetic number, because the mean of its divisors is an integer number (57007).

2114013 is an apocalyptic number.

It is an amenable number.

114013 is a deficient number, since it is larger than the sum of its proper divisors (1).

114013 is an equidigital number, since it uses as much as digits as its factorization.

114013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 114013 is about 337.6581111124. The cubic root of 114013 is about 48.4899189023.

The spelling of 114013 in words is "one hundred fourteen thousand, thirteen".