Search a number
-
+
114257681 is a prime number
BaseRepresentation
bin1101100111101…
…10111100010001
321221222220001222
412303312330101
5213222221211
615200534425
72555113526
oct663667421
9257886058
10114257681
115954a53a
1232321415
131a8962c5
141126314d
15a06e1db
hex6cf6f11

114257681 has 2 divisors, whose sum is σ = 114257682. Its totient is φ = 114257680.

The previous prime is 114257657. The next prime is 114257699. The reversal of 114257681 is 186752411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104366656 + 9891025 = 10216^2 + 3145^2 .

It is an emirp because it is prime and its reverse (186752411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114257681 - 26 = 114257617 is a prime.

It is a super-2 number, since 2×1142576812 = 26109635334995522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114257081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57128840 + 57128841.

It is an arithmetic number, because the mean of its divisors is an integer number (57128841).

Almost surely, 2114257681 is an apocalyptic number.

It is an amenable number.

114257681 is a deficient number, since it is larger than the sum of its proper divisors (1).

114257681 is an equidigital number, since it uses as much as digits as its factorization.

114257681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13440, while the sum is 35.

The square root of 114257681 is about 10689.1384592024. The cubic root of 114257681 is about 485.2458186334.

The spelling of 114257681 in words is "one hundred fourteen million, two hundred fifty-seven thousand, six hundred eighty-one".