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131130750 = 2353296029
BaseRepresentation
bin1111101000011…
…10010101111110
3100010202010120110
413310032111332
5232032141000
621002330450
73151410252
oct764162576
9303663513
10131130750
1168024523
1237ab9a26
132122337a
14135b6262
15b7a3850
hex7d0e57e

131130750 has 64 divisors (see below), whose sum is σ = 338644800. Its totient is φ = 33756800.

The previous prime is 131130749. The next prime is 131130767. The reversal of 131130750 is 57031131.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18736 + ... + 24764.

It is an arithmetic number, because the mean of its divisors is an integer number (5291325).

Almost surely, 2131130750 is an apocalyptic number.

131130750 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 131130750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169322400).

131130750 is an abundant number, since it is smaller than the sum of its proper divisors (207514050).

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

131130750 is a wasteful number, since it uses less digits than its factorization.

131130750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 131130750 is about 11451.2335580059. The cubic root of 131130750 is about 508.0442203224.

Adding to 131130750 its reverse (57031131), we get a palindrome (188161881).

The spelling of 131130750 in words is "one hundred thirty-one million, one hundred thirty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 725 750 870 1450 2175 3625 4350 6029 7250 10875 12058 18087 21750 30145 36174 60290 90435 150725 174841 180870 301450 349682 452175 524523 753625 874205 904350 1049046 1507250 1748410 2260875 2622615 4371025 4521750 5245230 8742050 13113075 21855125 26226150 43710250 65565375 131130750