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131242356 = 2235719289
BaseRepresentation
bin1111101001010…
…01100101110100
3100010221210200000
413310221211310
5232044223411
621004551300
73152353530
oct764514564
9303853600
10131242356
11680a0363
1237b52530
13212620cb
1413604bc0
15b7c6956
hex7d29974

131242356 has 72 divisors (see below), whose sum is σ = 393207360. Its totient is φ = 37495872.

The previous prime is 131242351. The next prime is 131242357. The reversal of 131242356 is 653242131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131242351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2841 + ... + 16448.

Almost surely, 2131242356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131242356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196603680).

131242356 is an abundant number, since it is smaller than the sum of its proper divisors (261965004).

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

131242356 is a wasteful number, since it uses less digits than its factorization.

131242356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19315 (or 19301 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 131242356 is about 11456.1056210215. The cubic root of 131242356 is about 508.1883123953.

Adding to 131242356 its reverse (653242131), we get a palindrome (784484487).

The spelling of 131242356 in words is "one hundred thirty-one million, two hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 19289 38578 57867 77156 115734 135023 173601 231468 270046 347202 405069 520803 540092 694404 810138 1041606 1215207 1562409 1620276 2083212 2430414 3124818 3645621 4687227 4860828 6249636 7291242 9374454 10936863 14582484 18748908 21873726 32810589 43747452 65621178 131242356