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131331500 = 22533137229
BaseRepresentation
bin1111101001111…
…11010110101100
3100011010022221122
413310333112230
5232110102000
621010520112
73153204446
oct764772654
9304108848
10131331500
1168151333
1237b96038
1321293861
1413629496
15b7e3085
hex7d3f5ac

131331500 has 96 divisors (see below), whose sum is σ = 305410560. Its totient is φ = 49248000.

The previous prime is 131331493. The next prime is 131331521. The reversal of 131331500 is 5133131.

131331500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573386 + ... + 573614.

It is an arithmetic number, because the mean of its divisors is an integer number (3181360).

Almost surely, 2131331500 is an apocalyptic number.

131331500 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 131331500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152705280).

131331500 is an abundant number, since it is smaller than the sum of its proper divisors (174079060).

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

131331500 is a wasteful number, since it uses less digits than its factorization.

131331500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 131331500 is about 11459.9956369974. The cubic root of 131331500 is about 508.3033455988.

Adding to 131331500 its reverse (5133131), we get a palindrome (136464631).

The spelling of 131331500 in words is "one hundred thirty-one million, three hundred thirty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 37 50 62 74 100 124 125 148 155 185 229 250 310 370 458 500 620 740 775 916 925 1145 1147 1550 1850 2290 2294 3100 3700 3875 4580 4588 4625 5725 5735 7099 7750 8473 9250 11450 11470 14198 15500 16946 18500 22900 22940 28396 28625 28675 33892 35495 42365 57250 57350 70990 84730 114500 114700 141980 143375 169460 177475 211825 262663 286750 354950 423650 525326 573500 709900 847300 887375 1050652 1059125 1313315 1774750 2118250 2626630 3549500 4236500 5253260 6566575 13133150 26266300 32832875 65665750 131331500