Search a number
-
+
116284131 = 32173124517
BaseRepresentation
bin1101110111001…
…01101011100011
322002210211211200
412323211223203
5214232043011
615312212243
72611253535
oct673455343
9262724750
10116284131
115a703a97
1232b3a083
131b1257a2
141162d855
15a31e856
hex6ee5ae3

116284131 has 24 divisors (see below), whose sum is σ = 183590784. Its totient is φ = 70606080.

The previous prime is 116284111. The next prime is 116284141. The reversal of 116284131 is 131482611.

It is a happy number.

116284131 is a `hidden beast` number, since 1 + 1 + 628 + 4 + 1 + 31 = 666.

It is not a de Polignac number, because 116284131 - 25 = 116284099 is a prime.

It is a super-2 number, since 2×1162841312 = 27043998244850322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116284095 and 116284104.

It is not an unprimeable number, because it can be changed into a prime (116284111) 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 23 ways as a sum of consecutive naturals, for example, 7516 + ... + 17001.

It is an arithmetic number, because the mean of its divisors is an integer number (7649616).

Almost surely, 2116284131 is an apocalyptic number.

116284131 is a deficient number, since it is larger than the sum of its proper divisors (67306653).

116284131 is a wasteful number, since it uses less digits than its factorization.

116284131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24571 (or 24568 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 116284131 is about 10783.5119974895. The cubic root of 116284131 is about 488.0977629876.

The spelling of 116284131 in words is "one hundred sixteen million, two hundred eighty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 24517 73551 220653 416789 760027 1250367 2280081 3751101 6840243 12920459 38761377 116284131