Search a number
-
+
114131233 = 192316153
BaseRepresentation
bin1101100110110…
…00000100100001
321221202110121201
412303120010201
5213204144413
615154121201
72554046056
oct663300441
9257673551
10114131233
1159473537
1232280201
131a850898
141122d02d
15a0469dd
hex6cd8121

114131233 has 6 divisors (see below), whose sum is σ = 120454674. Its totient is φ = 108123984.

The previous prime is 114131231. The next prime is 114131239. The reversal of 114131233 is 332131411.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 4133089 = 10488^2 + 2033^2 .

It is not a de Polignac number, because 114131233 - 21 = 114131231 is a prime.

It is a super-2 number, since 2×1141312332 = 26051876692200578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114131233.

It is not an unprimeable number, because it can be changed into a prime (114131231) 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 5 ways as a sum of consecutive naturals, for example, 157716 + ... + 158437.

It is an arithmetic number, because the mean of its divisors is an integer number (20075779).

Almost surely, 2114131233 is an apocalyptic number.

It is an amenable number.

114131233 is a deficient number, since it is larger than the sum of its proper divisors (6323441).

114131233 is an equidigital number, since it uses as much as digits as its factorization.

114131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316191 (or 316172 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 114131233 is about 10683.2220327016. Note that the first 3 decimals coincide. The cubic root of 114131233 is about 485.0667467566.

Adding to 114131233 its reverse (332131411), we get a palindrome (446262644).

The spelling of 114131233 in words is "one hundred fourteen million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 19 361 316153 6006907 114131233