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114014131 = 7211375717
BaseRepresentation
bin1101100101110…
…11011110110011
321221112111222121
412302323132303
5213141423011
615151415111
72553050500
oct662733663
9257474877
10114014131
11593a3560
1232224497
131a80c4aa
14111dc4a7
15a021e71
hex6cbb7b3

114014131 has 24 divisors (see below), whose sum is σ = 148622256. Its totient is φ = 86425920.

The previous prime is 114014129. The next prime is 114014161. The reversal of 114014131 is 131410411.

It is not a de Polignac number, because 114014131 - 21 = 114014129 is a prime.

It is a super-2 number, since 2×1140141312 = 25998444135370322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114014161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17085 + ... + 22801.

It is an arithmetic number, because the mean of its divisors is an integer number (6192594).

Almost surely, 2114014131 is an apocalyptic number.

114014131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114014131 is a deficient number, since it is larger than the sum of its proper divisors (34608125).

114014131 is a wasteful number, since it uses less digits than its factorization.

114014131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 114014131 is about 10677.7399762309. The cubic root of 114014131 is about 484.9007924054.

Adding to 114014131 its reverse (131410411), we get a palindrome (245424542).

The spelling of 114014131 in words is "one hundred fourteen million, fourteen thousand, one hundred thirty-one".

Divisors: 1 7 11 37 49 77 259 407 539 1813 2849 5717 19943 40019 62887 211529 280133 440209 1480703 2326819 3081463 10364921 16287733 114014131