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131232132 = 223213127827
BaseRepresentation
bin1111101001001…
…11000110000100
3100010221021122100
413310213012010
5232043412012
621004432100
73152311653
oct764470604
9303837570
10131232132
1168093709
1237b48630
132125a565
141360119a
15b7c38dc
hex7d27184

131232132 has 36 divisors (see below), whose sum is σ = 334269936. Its totient is φ = 43408560.

The previous prime is 131232113. The next prime is 131232133. The reversal of 131232132 is 231232131.

131232132 is a `hidden beast` number, since 1 + 312 + 321 + 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 (131232133) 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 11 ways as a sum of consecutive naturals, for example, 9198 + ... + 18629.

It is an arithmetic number, because the mean of its divisors is an integer number (9285276).

Almost surely, 2131232132 is an apocalyptic number.

131232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131232132 is an abundant number, since it is smaller than the sum of its proper divisors (203037804).

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

131232132 is a wasteful number, since it uses less digits than its factorization.

131232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27968 (or 27963 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131232132 is about 11455.6593873945. The cubic root of 131232132 is about 508.1751158115.

Adding to 131232132 its reverse (231232131), we get a palindrome (362464263).

Subtracting 131232132 from its reverse (231232131), we obtain a palindrome (99999999).

The spelling of 131232132 in words is "one hundred thirty-one million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 27827 55654 83481 111308 166962 250443 333924 500886 1001772 3645337 7290674 10936011 14581348 21872022 32808033 43744044 65616066 131232132