Search a number
-
+
114038831 is a prime number
BaseRepresentation
bin1101100110000…
…01100000101111
321221120202212102
412303001200233
5213143220311
615152125315
72553212504
oct663014057
9257522772
10114038831
1159410075
123223683b
131a81a7ca
14112074ab
15a02943b
hex6cc182f

114038831 has 2 divisors, whose sum is σ = 114038832. Its totient is φ = 114038830.

The previous prime is 114038803. The next prime is 114038833. The reversal of 114038831 is 138830411.

It is a strong prime.

It is an emirp because it is prime and its reverse (138830411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114038831 is a prime.

It is a super-2 number, since 2×1140388312 = 26009709951693122, which contains 22 as substring.

Together with 114038833, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 114038794 and 114038803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114038833) 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, 57019415 + 57019416.

It is an arithmetic number, because the mean of its divisors is an integer number (57019416).

Almost surely, 2114038831 is an apocalyptic number.

114038831 is a deficient number, since it is larger than the sum of its proper divisors (1).

114038831 is an equidigital number, since it uses as much as digits as its factorization.

114038831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 114038831 is about 10678.8965253906. The cubic root of 114038831 is about 484.9358061493.

The spelling of 114038831 in words is "one hundred fourteen million, thirty-eight thousand, eight hundred thirty-one".