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131344530 = 235191311759
BaseRepresentation
bin1111101010000…
…10100010010010
3100011010222211020
413311002202102
5232111011110
621011100310
73153260442
oct765024222
9304128736
10131344530
11681600a9
1237ba1696
1321299775
1413630122
15b7e6d70
hex7d42892

131344530 has 64 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 32909760.

The previous prime is 131344523. The next prime is 131344537. The reversal of 131344530 is 35443131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131344523) and next prime (131344537).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131344530.

It is not an unprimeable number, because it can be changed into a prime (131344537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73791 + ... + 75549.

It is an arithmetic number, because the mean of its divisors is an integer number (5227200).

Almost surely, 2131344530 is an apocalyptic number.

131344530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131344530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

131344530 is an abundant number, since it is smaller than the sum of its proper divisors (203196270).

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

131344530 is a wasteful number, since it uses less digits than its factorization.

131344530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 131344530 is about 11460.5641222411. The cubic root of 131344530 is about 508.3201554110.

Adding to 131344530 its reverse (35443131), we get a palindrome (166787661).

The spelling of 131344530 in words is "one hundred thirty-one million, three hundred forty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 131 190 262 285 393 570 655 786 1310 1759 1965 2489 3518 3930 4978 5277 7467 8795 10554 12445 14934 17590 24890 26385 33421 37335 52770 66842 74670 100263 167105 200526 230429 334210 460858 501315 691287 1002630 1152145 1382574 2304290 3456435 4378151 6912870 8756302 13134453 21890755 26268906 43781510 65672265 131344530