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131433500 = 225311231039
BaseRepresentation
bin1111101010110…
…00010000011100
3100011022111212102
413311120100130
5232121333000
621013024232
73154111022
oct765302034
9304274772
10131433500
1168210a30
1238025078
13212cb103
1413654712
15b8133d5
hex7d5841c

131433500 has 96 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 45672000.

The previous prime is 131433493. The next prime is 131433517. The reversal of 131433500 is 5334131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125981 + ... + 127019.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2131433500 is an apocalyptic number.

131433500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131433500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

131433500 is an abundant number, since it is smaller than the sum of its proper divisors (195642340).

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

131433500 is a wasteful number, since it uses less digits than its factorization.

131433500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 131433500 is about 11464.4450367211. The cubic root of 131433500 is about 508.4349046042.

Adding to 131433500 its reverse (5334131), we get a palindrome (136767631).

The spelling of 131433500 in words is "one hundred thirty-one million, four hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 125 220 230 250 253 275 460 500 506 550 575 1012 1039 1100 1150 1265 1375 2078 2300 2530 2750 2875 4156 5060 5195 5500 5750 6325 10390 11429 11500 12650 20780 22858 23897 25300 25975 31625 45716 47794 51950 57145 63250 95588 103900 114290 119485 126500 129875 228580 238970 259750 262867 285725 477940 519500 525734 571450 597425 1051468 1142900 1194850 1314335 1428625 2389700 2628670 2857250 2987125 5257340 5714500 5974250 6571675 11948500 13143350 26286700 32858375 65716750 131433500