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114116131 = 2934679
BaseRepresentation
bin1101100110101…
…00011000100011
321221201200220101
412303110120203
5213203204011
615153523231
72553654043
oct663243043
9257650811
10114116131
1159463158
1232273517
131a846a4c
1411227723
15a0422c1
hex6cd4623

114116131 has 8 divisors (see below), whose sum is σ = 118216800. Its totient is φ = 110157544.

The previous prime is 114116129. The next prime is 114116183. The reversal of 114116131 is 131611411.

It is not a de Polignac number, because 114116131 - 21 = 114116129 is a prime.

It is a super-2 number, since 2×1141161312 = 26044982708818322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114116099 and 114116108.

It is not an unprimeable number, because it can be changed into a prime (114116111) 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, 22050 + ... + 26728.

It is an arithmetic number, because the mean of its divisors is an integer number (14777100).

Almost surely, 2114116131 is an apocalyptic number.

114116131 is a deficient number, since it is larger than the sum of its proper divisors (4100669).

114116131 is an frugal number, since it uses more digits than its factorization.

114116131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4708 counting only the distinct ones).

The product of its digits is 72, while the sum is 19.

The square root of 114116131 is about 10682.5152000828. The cubic root of 114116131 is about 485.0453509156.

Adding to 114116131 its reverse (131611411), we get a palindrome (245727542).

The spelling of 114116131 in words is "one hundred fourteen million, one hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 29 841 4679 24389 135691 3935039 114116131