[go: up one dir, main page]

Search a number
-
+
114126111 = 33112181193
BaseRepresentation
bin1101100110101…
…10110100011111
321221202012121000
412303112310133
5213204013421
615154041343
72554025121
oct663266437
9257665530
10114126111
115946a700
1232279253
131a84b458
141122b211
15a045226
hex6cd6d1f

114126111 has 48 divisors (see below), whose sum is σ = 187838560. Its totient is φ = 68428800.

The previous prime is 114126109. The next prime is 114126113. The reversal of 114126111 is 111621411.

114126111 is a `hidden beast` number, since 11 + 41 + 2 + 611 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (114126109) and next prime (114126113).

It is not a de Polignac number, because 114126111 - 21 = 114126109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114126113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591231 + ... + 591423.

Almost surely, 2114126111 is an apocalyptic number.

114126111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114126111 is a deficient number, since it is larger than the sum of its proper divisors (73712449).

114126111 is a wasteful number, since it uses less digits than its factorization.

114126111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 114126111 is about 10682.9823083257. The cubic root of 114126111 is about 485.0594903467.

Adding to 114126111 its reverse (111621411), we get a palindrome (225747522).

The spelling of 114126111 in words is "one hundred fourteen million, one hundred twenty-six thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 99 121 181 193 297 363 543 579 1089 1629 1737 1991 2123 3267 4887 5211 5973 6369 17919 19107 21901 23353 34933 53757 57321 65703 70059 104799 197109 210177 314397 384263 591327 630531 943191 1152789 3458367 4226893 10375101 12680679 38042037 114126111