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116112132 = 22328233919
BaseRepresentation
bin1101110101110…
…11101100000100
322002111002220100
412322323230010
5214211042012
615304404100
72606636223
oct672735404
9262432810
10116112132
115a5a6844
1232a76630
131b095406
14115c6cba
15a2d88dc
hex6ebbb04

116112132 has 36 divisors (see below), whose sum is σ = 293937280. Its totient is φ = 38647152.

The previous prime is 116112131. The next prime is 116112167. The reversal of 116112132 is 231211611.

116112132 is a `hidden beast` number, since 1 + 1 + 611 + 21 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116112131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27669 + ... + 31587.

Almost surely, 2116112132 is an apocalyptic number.

116112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116112132 is an abundant number, since it is smaller than the sum of its proper divisors (177825148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116112132 is a wasteful number, since it uses less digits than its factorization.

116112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4747 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 116112132 is about 10775.5339542874. The cubic root of 116112132 is about 487.8569913749.

Adding to 116112132 its reverse (231211611), we get a palindrome (347323743).

The spelling of 116112132 in words is "one hundred sixteen million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 823 1646 2469 3292 3919 4938 7407 7838 9876 11757 14814 15676 23514 29628 35271 47028 70542 141084 3225337 6450674 9676011 12901348 19352022 29028033 38704044 58056066 116112132