Search a number
-
+
131112132 = 22329376759
BaseRepresentation
bin1111101000010…
…01110011000100
3100010201012000220
413310021303010
5232031042012
621002104340
73151302054
oct764116304
9303635026
10131112132
1168011538
1237aab0b0
1321217a58
14135ad564
15b79d08c
hex7d09cc4

131112132 has 24 divisors (see below), whose sum is σ = 316478400. Its totient is φ = 42196896.

The previous prime is 131112131. The next prime is 131112139. The reversal of 131112132 is 231211131.

It is a happy number.

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 (131112131) 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, 188032 + ... + 188727.

It is an arithmetic number, because the mean of its divisors is an integer number (13186600).

Almost surely, 2131112132 is an apocalyptic number.

131112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131112132 is an abundant number, since it is smaller than the sum of its proper divisors (185366268).

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

131112132 is a wasteful number, since it uses less digits than its factorization.

131112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376795 (or 376793 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 131112132 is about 11450.4206036285. The cubic root of 131112132 is about 508.0201750724.

Adding to 131112132 its reverse (231211131), we get a palindrome (362323263).

The spelling of 131112132 in words is "one hundred thirty-one million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 376759 753518 1130277 1507036 2260554 4521108 10926011 21852022 32778033 43704044 65556066 131112132