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131212032 = 283724407
BaseRepresentation
bin1111101001000…
…10001100000000
3100010220021001220
413310202030000
5232042241112
621004155040
73152166240
oct764421400
9303807056
10131212032
116807a5a6
1237b38a80
1321251373
14135d7b20
15b7bc98c
hex7d22300

131212032 has 72 divisors (see below), whose sum is σ = 399119616. Its totient is φ = 37487616.

The previous prime is 131212031. The next prime is 131212093. The reversal of 131212032 is 230212131.

It is not an unprimeable number, because it can be changed into a prime (131212031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6828 + ... + 17579.

It is an arithmetic number, because the mean of its divisors is an integer number (5543328).

Almost surely, 2131212032 is an apocalyptic number.

131212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131212032 is an abundant number, since it is smaller than the sum of its proper divisors (267907584).

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

131212032 is an equidigital number, since it uses as much as digits as its factorization.

131212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24433 (or 24419 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131212032 is about 11454.7820581624. The cubic root of 131212032 is about 508.1491698250.

Adding to 131212032 its reverse (230212131), we get a palindrome (361424163).

Subtracting 131212032 from its reverse (230212131), we obtain a palindrome (99000099).

The spelling of 131212032 in words is "one hundred thirty-one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 24407 48814 73221 97628 146442 170849 195256 292884 341698 390512 512547 585768 683396 781024 1025094 1171536 1366792 1562048 2050188 2343072 2733584 3124096 4100376 4686144 5467168 6248192 8200752 9372288 10934336 16401504 18744576 21868672 32803008 43737344 65606016 131212032