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131132331 = 3311441523
BaseRepresentation
bin1111101000011…
…10101110101011
3100010202012202000
413310032232223
5232032213311
621002342043
73151415001
oct764165653
9303665660
10131132331
1168025730
1237aba923
1321223cc5
14135b6a71
15b7a4056
hex7d0ebab

131132331 has 16 divisors (see below), whose sum is σ = 211931520. Its totient is φ = 79473960.

The previous prime is 131132321. The next prime is 131132381. The reversal of 131132331 is 133231131.

It is a happy number.

131132331 is a `hidden beast` number, since 1 + 311 + 323 + 31 = 666.

It is not a de Polignac number, because 131132331 - 25 = 131132299 is a prime.

It is a super-2 number, since 2×1311323312 = 34391376466987122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131132311) 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 15 ways as a sum of consecutive naturals, for example, 220465 + ... + 221058.

It is an arithmetic number, because the mean of its divisors is an integer number (13245720).

Almost surely, 2131132331 is an apocalyptic number.

131132331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131132331 is a deficient number, since it is larger than the sum of its proper divisors (80799189).

131132331 is a wasteful number, since it uses less digits than its factorization.

131132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441543 (or 441537 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 131132331 is about 11451.3025896620. The cubic root of 131132331 is about 508.0462620878.

Adding to 131132331 its reverse (133231131), we get a palindrome (264363462).

The spelling of 131132331 in words is "one hundred thirty-one million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 441523 1324569 3973707 4856753 11921121 14570259 43710777 131132331