Search a number
114031 is a prime number
BaseRepresentation
bin11011110101101111
312210102101
4123311233
512122111
62235531
7653311
oct336557
9183371
10114031
1178745
1255ba7
133cb98
142d7b1
1523bc1
hex1bd6f

114031 has 2 divisors, whose sum is σ = 114032. Its totient is φ = 114030.

The previous prime is 114013. The next prime is 114041. The reversal of 114031 is 130411.

Adding to 114031 its reverse (130411), we get a palindrome (244442).

It is a happy number.

Together with previous prime (114013) it forms an Ormiston pair, because they use the same digits, order apart.

It is an a-pointer prime, because the next prime (114041) can be obtained adding 114031 to its sum of digits (10).

It is a strong prime.

It is an emirp because it is prime and its reverse (130411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114031 - 27 = 113903 is a prime.

It is a super-2 number, since 2×1140312 = 26006137922, which contains 22 as substring.

It is a Chen prime.

114031 is a lucky number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 113999 and 114017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114001) 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 as a sum of consecutive naturals, namely, 57015 + 57016.

It is an arithmetic number, because the mean of its divisors is an integer number (57016).

2114031 is an apocalyptic number.

114031 is the 181-st centered heptagonal number.

114031 is a deficient number, since it is larger than the sum of its proper divisors (1).

114031 is an equidigital number, since it uses as much as digits as its factorization.

114031 is an odious number, because the sum of its binary digits is odd.

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

The square root of 114031 is about 337.6847642403. The cubic root of 114031 is about 48.4924705781.

The spelling of 114031 in words is "one hundred fourteen thousand, thirty-one".