Search a number
-
+
114131781 = 334227103
BaseRepresentation
bin1101100110110…
…00001101000101
321221202111101000
412303120031011
5213204204111
615154123513
72554050501
oct663301505
9257674330
10114131781
1159473995
1232280599
131a850bca
141122d301
15a046c56
hex6cd8345

114131781 has 8 divisors (see below), whose sum is σ = 169084160. Its totient is φ = 76087836.

The previous prime is 114131767. The next prime is 114131807. The reversal of 114131781 is 187131411.

It is not a de Polignac number, because 114131781 - 25 = 114131749 is a prime.

It is a super-2 number, since 2×1141317812 = 26052126868463922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4227103 = 114131781 / (1 + 1 + 4 + 1 + 3 + 1 + 7 + 8 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131701) 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 in 7 ways as a sum of consecutive naturals, for example, 2113525 + ... + 2113578.

It is an arithmetic number, because the mean of its divisors is an integer number (21135520).

Almost surely, 2114131781 is an apocalyptic number.

It is an amenable number.

114131781 is a deficient number, since it is larger than the sum of its proper divisors (54952379).

114131781 is an equidigital number, since it uses as much as digits as its factorization.

114131781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227112 (or 4227106 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 114131781 is about 10683.2476803639. The cubic root of 114131781 is about 485.0675231031.

The spelling of 114131781 in words is "one hundred fourteen million, one hundred thirty-one thousand, seven hundred eighty-one".

Divisors: 1 3 9 27 4227103 12681309 38043927 114131781